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Finding the Fourth Proportional to 41,861.76, 62,712.96 and 24,960

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Solution

The fourth proportional to 41,861.76, 62,712.96 and 24,960 is: 37,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,861.76 : 62,712.96 = 24,960 : x
  2. Step 2: Convert to fraction form
    41,861.76/62,712.96 = 24,960/x
  3. Step 3: Cross multiply
    41,861.76x = 62,712.96 × 24,960
  4. Step 4: Simplify right side
    41,861.76x = 1,565,315,481.60
  5. Step 5: Solve for x
    x = 1,565,315,481.60/41,861.76
  6. Step 6: Final answer
    x = 37,392.49

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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.