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Finding the Fourth Proportional to 54,329.80, 81,470.40 and 24,732.40

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Solution

The fourth proportional to 54,329.80, 81,470.40 and 24,732.40 is: 37,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,329.80 : 81,470.40 = 24,732.40 : x
  2. Step 2: Convert to fraction form
    54,329.80/81,470.40 = 24,732.40/x
  3. Step 3: Cross multiply
    54,329.80x = 81,470.40 × 24,732.40
  4. Step 4: Simplify right side
    54,329.80x = 2,014,958,520.96
  5. Step 5: Solve for x
    x = 2,014,958,520.96/54,329.80
  6. Step 6: Final answer
    x = 37,087.54

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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.