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Finding the Fourth Proportional to 29,642.56, 44,469.92 and 9,921.28

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Solution

The fourth proportional to 29,642.56, 44,469.92 and 9,921.28 is: 14,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.56 : 44,469.92 = 9,921.28 : x
  2. Step 2: Convert to fraction form
    29,642.56/44,469.92 = 9,921.28/x
  3. Step 3: Cross multiply
    29,642.56x = 44,469.92 × 9,921.28
  4. Step 4: Simplify right side
    29,642.56x = 441,198,527.90
  5. Step 5: Solve for x
    x = 441,198,527.90/29,642.56
  6. Step 6: Final answer
    x = 14,883.95

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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.