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Finding the Fourth Proportional to 95,194.40, 142,793.40 and 32,002.84

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Solution

The fourth proportional to 95,194.40, 142,793.40 and 32,002.84 is: 48,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,194.40 : 142,793.40 = 32,002.84 : x
  2. Step 2: Convert to fraction form
    95,194.40/142,793.40 = 32,002.84/x
  3. Step 3: Cross multiply
    95,194.40x = 142,793.40 × 32,002.84
  4. Step 4: Simplify right side
    95,194.40x = 4,569,794,333.26
  5. Step 5: Solve for x
    x = 4,569,794,333.26/95,194.40
  6. Step 6: Final answer
    x = 48,004.87

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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.