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Finding the Fourth Proportional to 52,542.20, 78,744.90 and 21,341

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Solution

The fourth proportional to 52,542.20, 78,744.90 and 21,341 is: 31,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,542.20 : 78,744.90 = 21,341 : x
  2. Step 2: Convert to fraction form
    52,542.20/78,744.90 = 21,341/x
  3. Step 3: Cross multiply
    52,542.20x = 78,744.90 × 21,341
  4. Step 4: Simplify right side
    52,542.20x = 1,680,494,910.90
  5. Step 5: Solve for x
    x = 1,680,494,910.90/52,542.20
  6. Step 6: Final answer
    x = 31,983.72

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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.