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Finding the Fourth Proportional to 84,008.67, 126,065.75 and 34,088.97

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Solution

The fourth proportional to 84,008.67, 126,065.75 and 34,088.97 is: 51,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,008.67 : 126,065.75 = 34,088.97 : x
  2. Step 2: Convert to fraction form
    84,008.67/126,065.75 = 34,088.97/x
  3. Step 3: Cross multiply
    84,008.67x = 126,065.75 × 34,088.97
  4. Step 4: Simplify right side
    84,008.67x = 4,297,451,569.78
  5. Step 5: Solve for x
    x = 4,297,451,569.78/84,008.67
  6. Step 6: Final answer
    x = 51,154.86

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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.