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Finding the Fourth Proportional to 64,472.16, 96,738 and 29,422.56

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Solution

The fourth proportional to 64,472.16, 96,738 and 29,422.56 is: 44,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,472.16 : 96,738 = 29,422.56 : x
  2. Step 2: Convert to fraction form
    64,472.16/96,738 = 29,422.56/x
  3. Step 3: Cross multiply
    64,472.16x = 96,738 × 29,422.56
  4. Step 4: Simplify right side
    64,472.16x = 2,846,279,609.28
  5. Step 5: Solve for x
    x = 2,846,279,609.28/64,472.16
  6. Step 6: Final answer
    x = 44,147.42

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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.