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Finding the Fourth Proportional to 54,702.64, 82,053.92 and 13,149.64

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Solution

The fourth proportional to 54,702.64, 82,053.92 and 13,149.64 is: 19,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.64 : 82,053.92 = 13,149.64 : x
  2. Step 2: Convert to fraction form
    54,702.64/82,053.92 = 13,149.64/x
  3. Step 3: Cross multiply
    54,702.64x = 82,053.92 × 13,149.64
  4. Step 4: Simplify right side
    54,702.64x = 1,078,979,508.59
  5. Step 5: Solve for x
    x = 1,078,979,508.59/54,702.64
  6. Step 6: Final answer
    x = 19,724.45

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Why These Related Problems?

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