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Finding the Fourth Proportional to 29,713.75, 44,580.56 and 9,724.15

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Solution

The fourth proportional to 29,713.75, 44,580.56 and 9,724.15 is: 14,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.75 : 44,580.56 = 9,724.15 : x
  2. Step 2: Convert to fraction form
    29,713.75/44,580.56 = 9,724.15/x
  3. Step 3: Cross multiply
    29,713.75x = 44,580.56 × 9,724.15
  4. Step 4: Simplify right side
    29,713.75x = 433,508,052.52
  5. Step 5: Solve for x
    x = 433,508,052.52/29,713.75
  6. Step 6: Final answer
    x = 14,589.48

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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.