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Finding the Fourth Proportional to 82,495.71, 123,758.96 and 37,520.33

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Solution

The fourth proportional to 82,495.71, 123,758.96 and 37,520.33 is: 56,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,495.71 : 123,758.96 = 37,520.33 : x
  2. Step 2: Convert to fraction form
    82,495.71/123,758.96 = 37,520.33/x
  3. Step 3: Cross multiply
    82,495.71x = 123,758.96 × 37,520.33
  4. Step 4: Simplify right side
    82,495.71x = 4,643,476,213.26
  5. Step 5: Solve for x
    x = 4,643,476,213.26/82,495.71
  6. Step 6: Final answer
    x = 56,287.49

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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.