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Finding the Fourth Proportional to 52,723.38, 72,751.05 and 31,498.14

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Solution

The fourth proportional to 52,723.38, 72,751.05 and 31,498.14 is: 43,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,723.38 : 72,751.05 = 31,498.14 : x
  2. Step 2: Convert to fraction form
    52,723.38/72,751.05 = 31,498.14/x
  3. Step 3: Cross multiply
    52,723.38x = 72,751.05 × 31,498.14
  4. Step 4: Simplify right side
    52,723.38x = 2,291,522,758.05
  5. Step 5: Solve for x
    x = 2,291,522,758.05/52,723.38
  6. Step 6: Final answer
    x = 43,463.12

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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.