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Finding the Fourth Proportional to 82,573.56, 123,860.34 and 33,291

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Solution

The fourth proportional to 82,573.56, 123,860.34 and 33,291 is: 49,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,573.56 : 123,860.34 = 33,291 : x
  2. Step 2: Convert to fraction form
    82,573.56/123,860.34 = 33,291/x
  3. Step 3: Cross multiply
    82,573.56x = 123,860.34 × 33,291
  4. Step 4: Simplify right side
    82,573.56x = 4,123,434,578.94
  5. Step 5: Solve for x
    x = 4,123,434,578.94/82,573.56
  6. Step 6: Final answer
    x = 49,936.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.