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Finding the Fourth Proportional to 68,982.70, 103,486.20 and 24,635.20

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Solution

The fourth proportional to 68,982.70, 103,486.20 and 24,635.20 is: 36,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,982.70 : 103,486.20 = 24,635.20 : x
  2. Step 2: Convert to fraction form
    68,982.70/103,486.20 = 24,635.20/x
  3. Step 3: Cross multiply
    68,982.70x = 103,486.20 × 24,635.20
  4. Step 4: Simplify right side
    68,982.70x = 2,549,403,234.24
  5. Step 5: Solve for x
    x = 2,549,403,234.24/68,982.70
  6. Step 6: Final answer
    x = 36,957.14

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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.