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Finding the Fourth Proportional to 52,344.90, 72,226.17 and 31,129.38

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Solution

The fourth proportional to 52,344.90, 72,226.17 and 31,129.38 is: 42,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,344.90 : 72,226.17 = 31,129.38 : x
  2. Step 2: Convert to fraction form
    52,344.90/72,226.17 = 31,129.38/x
  3. Step 3: Cross multiply
    52,344.90x = 72,226.17 × 31,129.38
  4. Step 4: Simplify right side
    52,344.90x = 2,248,355,891.87
  5. Step 5: Solve for x
    x = 2,248,355,891.87/52,344.90
  6. Step 6: Final answer
    x = 42,952.72

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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.