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Finding the Fourth Proportional to 31,082.49, 46,643.18 and 12,614.49

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Solution

The fourth proportional to 31,082.49, 46,643.18 and 12,614.49 is: 18,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.49 : 46,643.18 = 12,614.49 : x
  2. Step 2: Convert to fraction form
    31,082.49/46,643.18 = 12,614.49/x
  3. Step 3: Cross multiply
    31,082.49x = 46,643.18 × 12,614.49
  4. Step 4: Simplify right side
    31,082.49x = 588,379,864.61
  5. Step 5: Solve for x
    x = 588,379,864.61/31,082.49
  6. Step 6: Final answer
    x = 18,929.62

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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.