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Finding the Fourth Proportional to 54,782.52, 82,122.66 and 29,785.56

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Solution

The fourth proportional to 54,782.52, 82,122.66 and 29,785.56 is: 44,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.52 : 82,122.66 = 29,785.56 : x
  2. Step 2: Convert to fraction form
    54,782.52/82,122.66 = 29,785.56/x
  3. Step 3: Cross multiply
    54,782.52x = 82,122.66 × 29,785.56
  4. Step 4: Simplify right side
    54,782.52x = 2,446,069,416.79
  5. Step 5: Solve for x
    x = 2,446,069,416.79/54,782.52
  6. Step 6: Final answer
    x = 44,650.55

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