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Finding the Fourth Proportional to 99,531.38, 137,353.30 and 54,819.38

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Solution

The fourth proportional to 99,531.38, 137,353.30 and 54,819.38 is: 75,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,531.38 : 137,353.30 = 54,819.38 : x
  2. Step 2: Convert to fraction form
    99,531.38/137,353.30 = 54,819.38/x
  3. Step 3: Cross multiply
    99,531.38x = 137,353.30 × 54,819.38
  4. Step 4: Simplify right side
    99,531.38x = 7,529,621,923.14
  5. Step 5: Solve for x
    x = 7,529,621,923.14/99,531.38
  6. Step 6: Final answer
    x = 75,650.74

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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.