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Finding the Fourth Proportional to 113,766.98, 170,649.10 and 29,519.65

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Solution

The fourth proportional to 113,766.98, 170,649.10 and 29,519.65 is: 44,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,766.98 : 170,649.10 = 29,519.65 : x
  2. Step 2: Convert to fraction form
    113,766.98/170,649.10 = 29,519.65/x
  3. Step 3: Cross multiply
    113,766.98x = 170,649.10 × 29,519.65
  4. Step 4: Simplify right side
    113,766.98x = 5,037,501,204.39
  5. Step 5: Solve for x
    x = 5,037,501,204.39/113,766.98
  6. Step 6: Final answer
    x = 44,279.11

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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.