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Finding the Fourth Proportional to 41,255.64, 61,832.64 and 16,270.56

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Solution

The fourth proportional to 41,255.64, 61,832.64 and 16,270.56 is: 24,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,255.64 : 61,832.64 = 16,270.56 : x
  2. Step 2: Convert to fraction form
    41,255.64/61,832.64 = 16,270.56/x
  3. Step 3: Cross multiply
    41,255.64x = 61,832.64 × 16,270.56
  4. Step 4: Simplify right side
    41,255.64x = 1,006,051,679.08
  5. Step 5: Solve for x
    x = 1,006,051,679.08/41,255.64
  6. Step 6: Final answer
    x = 24,385.80

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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.