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Finding the Fourth Proportional to 123,577.86, 185,366.43 and 44,691.78

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Solution

The fourth proportional to 123,577.86, 185,366.43 and 44,691.78 is: 67,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,577.86 : 185,366.43 = 44,691.78 : x
  2. Step 2: Convert to fraction form
    123,577.86/185,366.43 = 44,691.78/x
  3. Step 3: Cross multiply
    123,577.86x = 185,366.43 × 44,691.78
  4. Step 4: Simplify right side
    123,577.86x = 8,284,355,708.95
  5. Step 5: Solve for x
    x = 8,284,355,708.95/123,577.86
  6. Step 6: Final answer
    x = 67,037.54

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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.