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Finding the Fourth Proportional to 40,542, 55,947.96 and 22,878

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Solution

The fourth proportional to 40,542, 55,947.96 and 22,878 is: 31,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,542 : 55,947.96 = 22,878 : x
  2. Step 2: Convert to fraction form
    40,542/55,947.96 = 22,878/x
  3. Step 3: Cross multiply
    40,542x = 55,947.96 × 22,878
  4. Step 4: Simplify right side
    40,542x = 1,279,977,428.88
  5. Step 5: Solve for x
    x = 1,279,977,428.88/40,542
  6. Step 6: Final answer
    x = 31,571.64

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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.