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Finding the Fourth Proportional to 66,847.29, 92,229.48 and 38,166

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Solution

The fourth proportional to 66,847.29, 92,229.48 and 38,166 is: 52,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,847.29 : 92,229.48 = 38,166 : x
  2. Step 2: Convert to fraction form
    66,847.29/92,229.48 = 38,166/x
  3. Step 3: Cross multiply
    66,847.29x = 92,229.48 × 38,166
  4. Step 4: Simplify right side
    66,847.29x = 3,520,030,333.68
  5. Step 5: Solve for x
    x = 3,520,030,333.68/66,847.29
  6. Step 6: Final answer
    x = 52,657.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.