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Finding the Fourth Proportional to 68,412.80, 102,424.80 and 52,731.20

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Solution

The fourth proportional to 68,412.80, 102,424.80 and 52,731.20 is: 78,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,412.80 : 102,424.80 = 52,731.20 : x
  2. Step 2: Convert to fraction form
    68,412.80/102,424.80 = 52,731.20/x
  3. Step 3: Cross multiply
    68,412.80x = 102,424.80 × 52,731.20
  4. Step 4: Simplify right side
    68,412.80x = 5,400,982,613.76
  5. Step 5: Solve for x
    x = 5,400,982,613.76/68,412.80
  6. Step 6: Final answer
    x = 78,946.96

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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.