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Finding the Fourth Proportional to 54,488.46, 81,732.17 and 32,285.86

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Solution

The fourth proportional to 54,488.46, 81,732.17 and 32,285.86 is: 48,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,488.46 : 81,732.17 = 32,285.86 : x
  2. Step 2: Convert to fraction form
    54,488.46/81,732.17 = 32,285.86/x
  3. Step 3: Cross multiply
    54,488.46x = 81,732.17 × 32,285.86
  4. Step 4: Simplify right side
    54,488.46x = 2,638,793,274.50
  5. Step 5: Solve for x
    x = 2,638,793,274.50/54,488.46
  6. Step 6: Final answer
    x = 48,428.48

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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.