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Finding the Fourth Proportional to 41,407.80, 57,142.36 and 22,544.92

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Solution

The fourth proportional to 41,407.80, 57,142.36 and 22,544.92 is: 31,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.80 : 57,142.36 = 22,544.92 : x
  2. Step 2: Convert to fraction form
    41,407.80/57,142.36 = 22,544.92/x
  3. Step 3: Cross multiply
    41,407.80x = 57,142.36 × 22,544.92
  4. Step 4: Simplify right side
    41,407.80x = 1,288,269,934.81
  5. Step 5: Solve for x
    x = 1,288,269,934.81/41,407.80
  6. Step 6: Final answer
    x = 31,111.77

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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.