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Finding the Fourth Proportional to 68,098.60, 102,224.70 and 40,412.20

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Solution

The fourth proportional to 68,098.60, 102,224.70 and 40,412.20 is: 60,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098.60 : 102,224.70 = 40,412.20 : x
  2. Step 2: Convert to fraction form
    68,098.60/102,224.70 = 40,412.20/x
  3. Step 3: Cross multiply
    68,098.60x = 102,224.70 × 40,412.20
  4. Step 4: Simplify right side
    68,098.60x = 4,131,125,021.34
  5. Step 5: Solve for x
    x = 4,131,125,021.34/68,098.60
  6. Step 6: Final answer
    x = 60,663.88

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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.