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Finding the Fourth Proportional to 54,932.64, 75,806.64 and 29,781.96

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Solution

The fourth proportional to 54,932.64, 75,806.64 and 29,781.96 is: 41,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,932.64 : 75,806.64 = 29,781.96 : x
  2. Step 2: Convert to fraction form
    54,932.64/75,806.64 = 29,781.96/x
  3. Step 3: Cross multiply
    54,932.64x = 75,806.64 × 29,781.96
  4. Step 4: Simplify right side
    54,932.64x = 2,257,670,320.21
  5. Step 5: Solve for x
    x = 2,257,670,320.21/54,932.64
  6. Step 6: Final answer
    x = 41,098.89

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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.