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Finding the Fourth Proportional to 40,894.56, 61,295.76 and 20,132.64

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Solution

The fourth proportional to 40,894.56, 61,295.76 and 20,132.64 is: 30,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894.56 : 61,295.76 = 20,132.64 : x
  2. Step 2: Convert to fraction form
    40,894.56/61,295.76 = 20,132.64/x
  3. Step 3: Cross multiply
    40,894.56x = 61,295.76 × 20,132.64
  4. Step 4: Simplify right side
    40,894.56x = 1,234,045,469.61
  5. Step 5: Solve for x
    x = 1,234,045,469.61/40,894.56
  6. Step 6: Final answer
    x = 30,176.27

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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.