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Finding the Fourth Proportional to 82,283.74, 123,425.58 and 19,954.24

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Solution

The fourth proportional to 82,283.74, 123,425.58 and 19,954.24 is: 29,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.74 : 123,425.58 = 19,954.24 : x
  2. Step 2: Convert to fraction form
    82,283.74/123,425.58 = 19,954.24/x
  3. Step 3: Cross multiply
    82,283.74x = 123,425.58 × 19,954.24
  4. Step 4: Simplify right side
    82,283.74x = 2,462,863,645.46
  5. Step 5: Solve for x
    x = 2,462,863,645.46/82,283.74
  6. Step 6: Final answer
    x = 29,931.35

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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.