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Finding the Fourth Proportional to 80,884.92, 121,364.96 and 30,948.52

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Solution

The fourth proportional to 80,884.92, 121,364.96 and 30,948.52 is: 46,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,884.92 : 121,364.96 = 30,948.52 : x
  2. Step 2: Convert to fraction form
    80,884.92/121,364.96 = 30,948.52/x
  3. Step 3: Cross multiply
    80,884.92x = 121,364.96 × 30,948.52
  4. Step 4: Simplify right side
    80,884.92x = 3,756,065,891.86
  5. Step 5: Solve for x
    x = 3,756,065,891.86/80,884.92
  6. Step 6: Final answer
    x = 46,437.16

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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.