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Finding the Fourth Proportional to 71,842.38, 99,142.49 and 40,011.28

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Solution

The fourth proportional to 71,842.38, 99,142.49 and 40,011.28 is: 55,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,842.38 : 99,142.49 = 40,011.28 : x
  2. Step 2: Convert to fraction form
    71,842.38/99,142.49 = 40,011.28/x
  3. Step 3: Cross multiply
    71,842.38x = 99,142.49 × 40,011.28
  4. Step 4: Simplify right side
    71,842.38x = 3,966,817,231.52
  5. Step 5: Solve for x
    x = 3,966,817,231.52/71,842.38
  6. Step 6: Final answer
    x = 55,215.56

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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.