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Finding the Fourth Proportional to 82,071.29, 123,057.73 and 39,868.27

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Solution

The fourth proportional to 82,071.29, 123,057.73 and 39,868.27 is: 59,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,071.29 : 123,057.73 = 39,868.27 : x
  2. Step 2: Convert to fraction form
    82,071.29/123,057.73 = 39,868.27/x
  3. Step 3: Cross multiply
    82,071.29x = 123,057.73 × 39,868.27
  4. Step 4: Simplify right side
    82,071.29x = 4,906,098,547.42
  5. Step 5: Solve for x
    x = 4,906,098,547.42/82,071.29
  6. Step 6: Final answer
    x = 59,778.50

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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.