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Finding the Fourth Proportional to 84,379.70, 126,569.67 and 34,459.80

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Solution

The fourth proportional to 84,379.70, 126,569.67 and 34,459.80 is: 51,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,379.70 : 126,569.67 = 34,459.80 : x
  2. Step 2: Convert to fraction form
    84,379.70/126,569.67 = 34,459.80/x
  3. Step 3: Cross multiply
    84,379.70x = 126,569.67 × 34,459.80
  4. Step 4: Simplify right side
    84,379.70x = 4,361,565,514.27
  5. Step 5: Solve for x
    x = 4,361,565,514.27/84,379.70
  6. Step 6: Final answer
    x = 51,689.75

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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.