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Finding the Fourth Proportional to 41,832, 57,728.20 and 22,711.77

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Solution

The fourth proportional to 41,832, 57,728.20 and 22,711.77 is: 31,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,832 : 57,728.20 = 22,711.77 : x
  2. Step 2: Convert to fraction form
    41,832/57,728.20 = 22,711.77/x
  3. Step 3: Cross multiply
    41,832x = 57,728.20 × 22,711.77
  4. Step 4: Simplify right side
    41,832x = 1,311,109,600.91
  5. Step 5: Solve for x
    x = 1,311,109,600.91/41,832
  6. Step 6: Final answer
    x = 31,342.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.