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Finding the Fourth Proportional to 54,898.60, 75,760.14 and 29,748.08

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Solution

The fourth proportional to 54,898.60, 75,760.14 and 29,748.08 is: 41,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,898.60 : 75,760.14 = 29,748.08 : x
  2. Step 2: Convert to fraction form
    54,898.60/75,760.14 = 29,748.08/x
  3. Step 3: Cross multiply
    54,898.60x = 75,760.14 × 29,748.08
  4. Step 4: Simplify right side
    54,898.60x = 2,253,718,705.53
  5. Step 5: Solve for x
    x = 2,253,718,705.53/54,898.60
  6. Step 6: Final answer
    x = 41,052.39

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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.