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Finding the Fourth Proportional to 61,808.13, 92,761.20 and 24,377.58

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Solution

The fourth proportional to 61,808.13, 92,761.20 and 24,377.58 is: 36,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,808.13 : 92,761.20 = 24,377.58 : x
  2. Step 2: Convert to fraction form
    61,808.13/92,761.20 = 24,377.58/x
  3. Step 3: Cross multiply
    61,808.13x = 92,761.20 × 24,377.58
  4. Step 4: Simplify right side
    61,808.13x = 2,261,293,573.90
  5. Step 5: Solve for x
    x = 2,261,293,573.90/61,808.13
  6. Step 6: Final answer
    x = 36,585.70

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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.