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Finding the Fourth Proportional to 31,292, 43,176.24 and 18,549.20

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Solution

The fourth proportional to 31,292, 43,176.24 and 18,549.20 is: 25,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292 : 43,176.24 = 18,549.20 : x
  2. Step 2: Convert to fraction form
    31,292/43,176.24 = 18,549.20/x
  3. Step 3: Cross multiply
    31,292x = 43,176.24 × 18,549.20
  4. Step 4: Simplify right side
    31,292x = 800,884,711.01
  5. Step 5: Solve for x
    x = 800,884,711.01/31,292
  6. Step 6: Final answer
    x = 25,593.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.