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Finding the Fourth Proportional to 54,657.20, 82,024.20 and 23,514.80

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Solution

The fourth proportional to 54,657.20, 82,024.20 and 23,514.80 is: 35,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657.20 : 82,024.20 = 23,514.80 : x
  2. Step 2: Convert to fraction form
    54,657.20/82,024.20 = 23,514.80/x
  3. Step 3: Cross multiply
    54,657.20x = 82,024.20 × 23,514.80
  4. Step 4: Simplify right side
    54,657.20x = 1,928,782,658.16
  5. Step 5: Solve for x
    x = 1,928,782,658.16/54,657.20
  6. Step 6: Final answer
    x = 35,288.72

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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.