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Finding the Fourth Proportional to 99,841.65, 137,787.08 and 54,523.83

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Solution

The fourth proportional to 99,841.65, 137,787.08 and 54,523.83 is: 75,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,841.65 : 137,787.08 = 54,523.83 : x
  2. Step 2: Convert to fraction form
    99,841.65/137,787.08 = 54,523.83/x
  3. Step 3: Cross multiply
    99,841.65x = 137,787.08 × 54,523.83
  4. Step 4: Simplify right side
    99,841.65x = 7,512,679,570.20
  5. Step 5: Solve for x
    x = 7,512,679,570.20/99,841.65
  6. Step 6: Final answer
    x = 75,245.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.