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Finding the Fourth Proportional to 40,197.80, 55,474.25 and 22,294.46

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Solution

The fourth proportional to 40,197.80, 55,474.25 and 22,294.46 is: 30,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,197.80 : 55,474.25 = 22,294.46 : x
  2. Step 2: Convert to fraction form
    40,197.80/55,474.25 = 22,294.46/x
  3. Step 3: Cross multiply
    40,197.80x = 55,474.25 × 22,294.46
  4. Step 4: Simplify right side
    40,197.80x = 1,236,768,058.81
  5. Step 5: Solve for x
    x = 1,236,768,058.81/40,197.80
  6. Step 6: Final answer
    x = 30,767.06

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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.