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Finding the Fourth Proportional to 68,456.29, 102,656.87 and 24,072.49

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Solution

The fourth proportional to 68,456.29, 102,656.87 and 24,072.49 is: 36,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,456.29 : 102,656.87 = 24,072.49 : x
  2. Step 2: Convert to fraction form
    68,456.29/102,656.87 = 24,072.49/x
  3. Step 3: Cross multiply
    68,456.29x = 102,656.87 × 24,072.49
  4. Step 4: Simplify right side
    68,456.29x = 2,471,206,574.74
  5. Step 5: Solve for x
    x = 2,471,206,574.74/68,456.29
  6. Step 6: Final answer
    x = 36,099.04

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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.