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Finding the Fourth Proportional to 99,704.76, 137,594.22 and 54,382.76

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Solution

The fourth proportional to 99,704.76, 137,594.22 and 54,382.76 is: 75,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,704.76 : 137,594.22 = 54,382.76 : x
  2. Step 2: Convert to fraction form
    99,704.76/137,594.22 = 54,382.76/x
  3. Step 3: Cross multiply
    99,704.76x = 137,594.22 × 54,382.76
  4. Step 4: Simplify right side
    99,704.76x = 7,482,752,755.68
  5. Step 5: Solve for x
    x = 7,482,752,755.68/99,704.76
  6. Step 6: Final answer
    x = 75,049.10

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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.