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Finding the Fourth Proportional to 54,889.56, 75,747.48 and 29,739

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Solution

The fourth proportional to 54,889.56, 75,747.48 and 29,739 is: 41,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,889.56 : 75,747.48 = 29,739 : x
  2. Step 2: Convert to fraction form
    54,889.56/75,747.48 = 29,739/x
  3. Step 3: Cross multiply
    54,889.56x = 75,747.48 × 29,739
  4. Step 4: Simplify right side
    54,889.56x = 2,252,654,307.72
  5. Step 5: Solve for x
    x = 2,252,654,307.72/54,889.56
  6. Step 6: Final answer
    x = 41,039.76

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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.