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Finding the Fourth Proportional to 120,708.66, 181,069.92 and 31,959.86

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Solution

The fourth proportional to 120,708.66, 181,069.92 and 31,959.86 is: 47,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,708.66 : 181,069.92 = 31,959.86 : x
  2. Step 2: Convert to fraction form
    120,708.66/181,069.92 = 31,959.86/x
  3. Step 3: Cross multiply
    120,708.66x = 181,069.92 × 31,959.86
  4. Step 4: Simplify right side
    120,708.66x = 5,786,969,293.41
  5. Step 5: Solve for x
    x = 5,786,969,293.41/120,708.66
  6. Step 6: Final answer
    x = 47,941.62

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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.