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Finding the Fourth Proportional to 42,191.88, 63,046.10 and 32,140.86

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Solution

The fourth proportional to 42,191.88, 63,046.10 and 32,140.86 is: 48,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,191.88 : 63,046.10 = 32,140.86 : x
  2. Step 2: Convert to fraction form
    42,191.88/63,046.10 = 32,140.86/x
  3. Step 3: Cross multiply
    42,191.88x = 63,046.10 × 32,140.86
  4. Step 4: Simplify right side
    42,191.88x = 2,026,355,873.65
  5. Step 5: Solve for x
    x = 2,026,355,873.65/42,191.88
  6. Step 6: Final answer
    x = 48,027.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.