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Finding the Fourth Proportional to 54,780.70, 82,114.35 and 29,767.90

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Solution

The fourth proportional to 54,780.70, 82,114.35 and 29,767.90 is: 44,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,780.70 : 82,114.35 = 29,767.90 : x
  2. Step 2: Convert to fraction form
    54,780.70/82,114.35 = 29,767.90/x
  3. Step 3: Cross multiply
    54,780.70x = 82,114.35 × 29,767.90
  4. Step 4: Simplify right side
    54,780.70x = 2,444,371,759.37
  5. Step 5: Solve for x
    x = 2,444,371,759.37/54,780.70
  6. Step 6: Final answer
    x = 44,621.04

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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.