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Finding the Fourth Proportional to 40,891.28, 56,430.92 and 22,742.16

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Solution

The fourth proportional to 40,891.28, 56,430.92 and 22,742.16 is: 31,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,891.28 : 56,430.92 = 22,742.16 : x
  2. Step 2: Convert to fraction form
    40,891.28/56,430.92 = 22,742.16/x
  3. Step 3: Cross multiply
    40,891.28x = 56,430.92 × 22,742.16
  4. Step 4: Simplify right side
    40,891.28x = 1,283,361,011.59
  5. Step 5: Solve for x
    x = 1,283,361,011.59/40,891.28
  6. Step 6: Final answer
    x = 31,384.71

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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.