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Finding the Fourth Proportional to 71,709.71, 98,957.69 and 39,003.30

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Solution

The fourth proportional to 71,709.71, 98,957.69 and 39,003.30 is: 53,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.71 : 98,957.69 = 39,003.30 : x
  2. Step 2: Convert to fraction form
    71,709.71/98,957.69 = 39,003.30/x
  3. Step 3: Cross multiply
    71,709.71x = 98,957.69 × 39,003.30
  4. Step 4: Simplify right side
    71,709.71x = 3,859,676,470.38
  5. Step 5: Solve for x
    x = 3,859,676,470.38/71,709.71
  6. Step 6: Final answer
    x = 53,823.62

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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.