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Finding the Fourth Proportional to 29,678.68, 44,517.66 and 8,902

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Solution

The fourth proportional to 29,678.68, 44,517.66 and 8,902 is: 13,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.68 : 44,517.66 = 8,902 : x
  2. Step 2: Convert to fraction form
    29,678.68/44,517.66 = 8,902/x
  3. Step 3: Cross multiply
    29,678.68x = 44,517.66 × 8,902
  4. Step 4: Simplify right side
    29,678.68x = 396,296,209.32
  5. Step 5: Solve for x
    x = 396,296,209.32/29,678.68
  6. Step 6: Final answer
    x = 13,352.89

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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.