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Finding the Fourth Proportional to 57,932, 86,901.68 and 16,382.24

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Solution

The fourth proportional to 57,932, 86,901.68 and 16,382.24 is: 24,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,932 : 86,901.68 = 16,382.24 : x
  2. Step 2: Convert to fraction form
    57,932/86,901.68 = 16,382.24/x
  3. Step 3: Cross multiply
    57,932x = 86,901.68 × 16,382.24
  4. Step 4: Simplify right side
    57,932x = 1,423,644,178.16
  5. Step 5: Solve for x
    x = 1,423,644,178.16/57,932
  6. Step 6: Final answer
    x = 24,574.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.