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Finding the Fourth Proportional to 67,428.80, 101,143.20 and 54,744.20

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Solution

The fourth proportional to 67,428.80, 101,143.20 and 54,744.20 is: 82,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,428.80 : 101,143.20 = 54,744.20 : x
  2. Step 2: Convert to fraction form
    67,428.80/101,143.20 = 54,744.20/x
  3. Step 3: Cross multiply
    67,428.80x = 101,143.20 × 54,744.20
  4. Step 4: Simplify right side
    67,428.80x = 5,537,003,569.44
  5. Step 5: Solve for x
    x = 5,537,003,569.44/67,428.80
  6. Step 6: Final answer
    x = 82,116.30

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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.