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Finding the Fourth Proportional to 61,702.64, 92,553.92 and 20,149.64

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Solution

The fourth proportional to 61,702.64, 92,553.92 and 20,149.64 is: 30,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,702.64 : 92,553.92 = 20,149.64 : x
  2. Step 2: Convert to fraction form
    61,702.64/92,553.92 = 20,149.64/x
  3. Step 3: Cross multiply
    61,702.64x = 92,553.92 × 20,149.64
  4. Step 4: Simplify right side
    61,702.64x = 1,864,928,168.59
  5. Step 5: Solve for x
    x = 1,864,928,168.59/61,702.64
  6. Step 6: Final answer
    x = 30,224.45

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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.