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Finding the Fourth Proportional to 54,889.38, 75,747.35 and 29,738.88

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Solution

The fourth proportional to 54,889.38, 75,747.35 and 29,738.88 is: 41,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,889.38 : 75,747.35 = 29,738.88 : x
  2. Step 2: Convert to fraction form
    54,889.38/75,747.35 = 29,738.88/x
  3. Step 3: Cross multiply
    54,889.38x = 75,747.35 × 29,738.88
  4. Step 4: Simplify right side
    54,889.38x = 2,252,641,426.32
  5. Step 5: Solve for x
    x = 2,252,641,426.32/54,889.38
  6. Step 6: Final answer
    x = 41,039.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.