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Finding the Fourth Proportional to 42,672.18, 63,847.89 and 40,422

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Solution

The fourth proportional to 42,672.18, 63,847.89 and 40,422 is: 60,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,672.18 : 63,847.89 = 40,422 : x
  2. Step 2: Convert to fraction form
    42,672.18/63,847.89 = 40,422/x
  3. Step 3: Cross multiply
    42,672.18x = 63,847.89 × 40,422
  4. Step 4: Simplify right side
    42,672.18x = 2,580,859,409.58
  5. Step 5: Solve for x
    x = 2,580,859,409.58/42,672.18
  6. Step 6: Final answer
    x = 60,481.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.