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Finding the Fourth Proportional to 54,818.64, 82,253.08 and 29,821.24

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Solution

The fourth proportional to 54,818.64, 82,253.08 and 29,821.24 is: 44,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,818.64 : 82,253.08 = 29,821.24 : x
  2. Step 2: Convert to fraction form
    54,818.64/82,253.08 = 29,821.24/x
  3. Step 3: Cross multiply
    54,818.64x = 82,253.08 × 29,821.24
  4. Step 4: Simplify right side
    54,818.64x = 2,452,888,839.42
  5. Step 5: Solve for x
    x = 2,452,888,839.42/54,818.64
  6. Step 6: Final answer
    x = 44,745.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.