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Finding the Fourth Proportional to 52,171.48, 71,977.02 and 38,592.04

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Solution

The fourth proportional to 52,171.48, 71,977.02 and 38,592.04 is: 53,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,171.48 : 71,977.02 = 38,592.04 : x
  2. Step 2: Convert to fraction form
    52,171.48/71,977.02 = 38,592.04/x
  3. Step 3: Cross multiply
    52,171.48x = 71,977.02 × 38,592.04
  4. Step 4: Simplify right side
    52,171.48x = 2,777,740,034.92
  5. Step 5: Solve for x
    x = 2,777,740,034.92/52,171.48
  6. Step 6: Final answer
    x = 53,242.50

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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.