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Finding the Fourth Proportional to 47,594.70, 71,503.02 and 40,951.80

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Solution

The fourth proportional to 47,594.70, 71,503.02 and 40,951.80 is: 61,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,594.70 : 71,503.02 = 40,951.80 : x
  2. Step 2: Convert to fraction form
    47,594.70/71,503.02 = 40,951.80/x
  3. Step 3: Cross multiply
    47,594.70x = 71,503.02 × 40,951.80
  4. Step 4: Simplify right side
    47,594.70x = 2,928,177,374.44
  5. Step 5: Solve for x
    x = 2,928,177,374.44/47,594.70
  6. Step 6: Final answer
    x = 61,523.18

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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.