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Finding the Fourth Proportional to 54,702.30, 82,046.16 and 15,256.11

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Solution

The fourth proportional to 54,702.30, 82,046.16 and 15,256.11 is: 22,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.30 : 82,046.16 = 15,256.11 : x
  2. Step 2: Convert to fraction form
    54,702.30/82,046.16 = 15,256.11/x
  3. Step 3: Cross multiply
    54,702.30x = 82,046.16 × 15,256.11
  4. Step 4: Simplify right side
    54,702.30x = 1,251,705,242.04
  5. Step 5: Solve for x
    x = 1,251,705,242.04/54,702.30
  6. Step 6: Final answer
    x = 22,882.13

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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.