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Finding the Fourth Proportional to 132,577.56, 198,748.44 and 48,321.87

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Solution

The fourth proportional to 132,577.56, 198,748.44 and 48,321.87 is: 72,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,577.56 : 198,748.44 = 48,321.87 : x
  2. Step 2: Convert to fraction form
    132,577.56/198,748.44 = 48,321.87/x
  3. Step 3: Cross multiply
    132,577.56x = 198,748.44 × 48,321.87
  4. Step 4: Simplify right side
    132,577.56x = 9,603,896,280.38
  5. Step 5: Solve for x
    x = 9,603,896,280.38/132,577.56
  6. Step 6: Final answer
    x = 72,439.83

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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.