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Finding the Fourth Proportional to 31,062.68, 46,523.92 and 14,387.68

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Solution

The fourth proportional to 31,062.68, 46,523.92 and 14,387.68 is: 21,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,062.68 : 46,523.92 = 14,387.68 : x
  2. Step 2: Convert to fraction form
    31,062.68/46,523.92 = 14,387.68/x
  3. Step 3: Cross multiply
    31,062.68x = 46,523.92 × 14,387.68
  4. Step 4: Simplify right side
    31,062.68x = 669,371,273.31
  5. Step 5: Solve for x
    x = 669,371,273.31/31,062.68
  6. Step 6: Final answer
    x = 21,549.05

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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.