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Finding the Fourth Proportional to 71,499, 98,680.38 and 39,678.14

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Solution

The fourth proportional to 71,499, 98,680.38 and 39,678.14 is: 54,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,499 : 98,680.38 = 39,678.14 : x
  2. Step 2: Convert to fraction form
    71,499/98,680.38 = 39,678.14/x
  3. Step 3: Cross multiply
    71,499x = 98,680.38 × 39,678.14
  4. Step 4: Simplify right side
    71,499x = 3,915,453,932.89
  5. Step 5: Solve for x
    x = 3,915,453,932.89/71,499
  6. Step 6: Final answer
    x = 54,762.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.