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Finding the Fourth Proportional to 51,755.68, 71,372.10 and 32,860

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Solution

The fourth proportional to 51,755.68, 71,372.10 and 32,860 is: 45,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,755.68 : 71,372.10 = 32,860 : x
  2. Step 2: Convert to fraction form
    51,755.68/71,372.10 = 32,860/x
  3. Step 3: Cross multiply
    51,755.68x = 71,372.10 × 32,860
  4. Step 4: Simplify right side
    51,755.68x = 2,345,287,206
  5. Step 5: Solve for x
    x = 2,345,287,206/51,755.68
  6. Step 6: Final answer
    x = 45,314.59

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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.