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Finding the Fourth Proportional to 80,746.40, 121,191.60 and 47,424.80

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Solution

The fourth proportional to 80,746.40, 121,191.60 and 47,424.80 is: 71,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,746.40 : 121,191.60 = 47,424.80 : x
  2. Step 2: Convert to fraction form
    80,746.40/121,191.60 = 47,424.80/x
  3. Step 3: Cross multiply
    80,746.40x = 121,191.60 × 47,424.80
  4. Step 4: Simplify right side
    80,746.40x = 5,747,487,391.68
  5. Step 5: Solve for x
    x = 5,747,487,391.68/80,746.40
  6. Step 6: Final answer
    x = 71,179.49

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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.