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Finding the Fourth Proportional to 40,221.80, 55,514.16 and 23,228.81

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Solution

The fourth proportional to 40,221.80, 55,514.16 and 23,228.81 is: 32,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,221.80 : 55,514.16 = 23,228.81 : x
  2. Step 2: Convert to fraction form
    40,221.80/55,514.16 = 23,228.81/x
  3. Step 3: Cross multiply
    40,221.80x = 55,514.16 × 23,228.81
  4. Step 4: Simplify right side
    40,221.80x = 1,289,527,874.95
  5. Step 5: Solve for x
    x = 1,289,527,874.95/40,221.80
  6. Step 6: Final answer
    x = 32,060.42

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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.