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Finding the Fourth Proportional to 40,542.77, 55,943.80 and 22,638.53

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Solution

The fourth proportional to 40,542.77, 55,943.80 and 22,638.53 is: 31,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,542.77 : 55,943.80 = 22,638.53 : x
  2. Step 2: Convert to fraction form
    40,542.77/55,943.80 = 22,638.53/x
  3. Step 3: Cross multiply
    40,542.77x = 55,943.80 × 22,638.53
  4. Step 4: Simplify right side
    40,542.77x = 1,266,485,180.03
  5. Step 5: Solve for x
    x = 1,266,485,180.03/40,542.77
  6. Step 6: Final answer
    x = 31,238.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.