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Finding the Fourth Proportional to 29,425.83, 44,138.53 and 9,705.97

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Solution

The fourth proportional to 29,425.83, 44,138.53 and 9,705.97 is: 14,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425.83 : 44,138.53 = 9,705.97 : x
  2. Step 2: Convert to fraction form
    29,425.83/44,138.53 = 9,705.97/x
  3. Step 3: Cross multiply
    29,425.83x = 44,138.53 × 9,705.97
  4. Step 4: Simplify right side
    29,425.83x = 428,407,248.02
  5. Step 5: Solve for x
    x = 428,407,248.02/29,425.83
  6. Step 6: Final answer
    x = 14,558.88

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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.