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Finding the Fourth Proportional to 68,651.12, 102,976.72 and 24,253.76

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Solution

The fourth proportional to 68,651.12, 102,976.72 and 24,253.76 is: 36,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,651.12 : 102,976.72 = 24,253.76 : x
  2. Step 2: Convert to fraction form
    68,651.12/102,976.72 = 24,253.76/x
  3. Step 3: Cross multiply
    68,651.12x = 102,976.72 × 24,253.76
  4. Step 4: Simplify right side
    68,651.12x = 2,497,572,652.47
  5. Step 5: Solve for x
    x = 2,497,572,652.47/68,651.12
  6. Step 6: Final answer
    x = 36,380.65

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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.