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Finding the Fourth Proportional to 66,147.31, 99,229.38 and 21,778.48

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Solution

The fourth proportional to 66,147.31, 99,229.38 and 21,778.48 is: 32,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,147.31 : 99,229.38 = 21,778.48 : x
  2. Step 2: Convert to fraction form
    66,147.31/99,229.38 = 21,778.48/x
  3. Step 3: Cross multiply
    66,147.31x = 99,229.38 × 21,778.48
  4. Step 4: Simplify right side
    66,147.31x = 2,161,065,067.74
  5. Step 5: Solve for x
    x = 2,161,065,067.74/66,147.31
  6. Step 6: Final answer
    x = 32,670.49

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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.