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Finding the Fourth Proportional to 40,470.84, 55,849.30 and 22,567.82

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Solution

The fourth proportional to 40,470.84, 55,849.30 and 22,567.82 is: 31,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,470.84 : 55,849.30 = 22,567.82 : x
  2. Step 2: Convert to fraction form
    40,470.84/55,849.30 = 22,567.82/x
  3. Step 3: Cross multiply
    40,470.84x = 55,849.30 × 22,567.82
  4. Step 4: Simplify right side
    40,470.84x = 1,260,396,613.86
  5. Step 5: Solve for x
    x = 1,260,396,613.86/40,470.84
  6. Step 6: Final answer
    x = 31,143.33

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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.