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Finding the Fourth Proportional to 49,217.84, 73,774.92 and 24,542

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Solution

The fourth proportional to 49,217.84, 73,774.92 and 24,542 is: 36,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,217.84 : 73,774.92 = 24,542 : x
  2. Step 2: Convert to fraction form
    49,217.84/73,774.92 = 24,542/x
  3. Step 3: Cross multiply
    49,217.84x = 73,774.92 × 24,542
  4. Step 4: Simplify right side
    49,217.84x = 1,810,584,086.64
  5. Step 5: Solve for x
    x = 1,810,584,086.64/49,217.84
  6. Step 6: Final answer
    x = 36,787.15

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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.