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Finding the Fourth Proportional to 129,033.39, 193,550.01 and 40,294.50

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Solution

The fourth proportional to 129,033.39, 193,550.01 and 40,294.50 is: 60,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,033.39 : 193,550.01 = 40,294.50 : x
  2. Step 2: Convert to fraction form
    129,033.39/193,550.01 = 40,294.50/x
  3. Step 3: Cross multiply
    129,033.39x = 193,550.01 × 40,294.50
  4. Step 4: Simplify right side
    129,033.39x = 7,799,000,076.58
  5. Step 5: Solve for x
    x = 7,799,000,076.58/129,033.39
  6. Step 6: Final answer
    x = 60,441.72

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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.