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Finding the Fourth Proportional to 92,131.68, 138,201.45 and 32,166.19

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Solution

The fourth proportional to 92,131.68, 138,201.45 and 32,166.19 is: 48,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,131.68 : 138,201.45 = 32,166.19 : x
  2. Step 2: Convert to fraction form
    92,131.68/138,201.45 = 32,166.19/x
  3. Step 3: Cross multiply
    92,131.68x = 138,201.45 × 32,166.19
  4. Step 4: Simplify right side
    92,131.68x = 4,445,414,151.10
  5. Step 5: Solve for x
    x = 4,445,414,151.10/92,131.68
  6. Step 6: Final answer
    x = 48,250.66

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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.