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Finding the Fourth Proportional to 41,406.74, 57,141.27 and 22,543.86

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Solution

The fourth proportional to 41,406.74, 57,141.27 and 22,543.86 is: 31,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,406.74 : 57,141.27 = 22,543.86 : x
  2. Step 2: Convert to fraction form
    41,406.74/57,141.27 = 22,543.86/x
  3. Step 3: Cross multiply
    41,406.74x = 57,141.27 × 22,543.86
  4. Step 4: Simplify right side
    41,406.74x = 1,288,184,791.10
  5. Step 5: Solve for x
    x = 1,288,184,791.10/41,406.74
  6. Step 6: Final answer
    x = 31,110.51

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