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Finding the Fourth Proportional to 54,932.20, 75,806.22 and 29,781.52

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Solution

The fourth proportional to 54,932.20, 75,806.22 and 29,781.52 is: 41,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,932.20 : 75,806.22 = 29,781.52 : x
  2. Step 2: Convert to fraction form
    54,932.20/75,806.22 = 29,781.52/x
  3. Step 3: Cross multiply
    54,932.20x = 75,806.22 × 29,781.52
  4. Step 4: Simplify right side
    54,932.20x = 2,257,624,457.05
  5. Step 5: Solve for x
    x = 2,257,624,457.05/54,932.20
  6. Step 6: Final answer
    x = 41,098.38

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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.