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Finding the Fourth Proportional to 41,965.60, 62,818.80 and 24,383.20

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Solution

The fourth proportional to 41,965.60, 62,818.80 and 24,383.20 is: 36,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,965.60 : 62,818.80 = 24,383.20 : x
  2. Step 2: Convert to fraction form
    41,965.60/62,818.80 = 24,383.20/x
  3. Step 3: Cross multiply
    41,965.60x = 62,818.80 × 24,383.20
  4. Step 4: Simplify right side
    41,965.60x = 1,531,723,364.16
  5. Step 5: Solve for x
    x = 1,531,723,364.16/41,965.60
  6. Step 6: Final answer
    x = 36,499.50

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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.