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Finding the Fourth Proportional to 67,834.80, 101,752.20 and 54,712.80

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Solution

The fourth proportional to 67,834.80, 101,752.20 and 54,712.80 is: 82,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,834.80 : 101,752.20 = 54,712.80 : x
  2. Step 2: Convert to fraction form
    67,834.80/101,752.20 = 54,712.80/x
  3. Step 3: Cross multiply
    67,834.80x = 101,752.20 × 54,712.80
  4. Step 4: Simplify right side
    67,834.80x = 5,567,147,768.16
  5. Step 5: Solve for x
    x = 5,567,147,768.16/67,834.80
  6. Step 6: Final answer
    x = 82,069.20

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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.