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Finding the Fourth Proportional to 29,704.28, 44,559.16 and 9,713.88

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Solution

The fourth proportional to 29,704.28, 44,559.16 and 9,713.88 is: 14,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,704.28 : 44,559.16 = 9,713.88 : x
  2. Step 2: Convert to fraction form
    29,704.28/44,559.16 = 9,713.88/x
  3. Step 3: Cross multiply
    29,704.28x = 44,559.16 × 9,713.88
  4. Step 4: Simplify right side
    29,704.28x = 432,842,221.74
  5. Step 5: Solve for x
    x = 432,842,221.74/29,704.28
  6. Step 6: Final answer
    x = 14,571.71

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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.