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Finding the Fourth Proportional to 40,189.82, 55,461.42 and 22,285.17

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Solution

The fourth proportional to 40,189.82, 55,461.42 and 22,285.17 is: 30,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,189.82 : 55,461.42 = 22,285.17 : x
  2. Step 2: Convert to fraction form
    40,189.82/55,461.42 = 22,285.17/x
  3. Step 3: Cross multiply
    40,189.82x = 55,461.42 × 22,285.17
  4. Step 4: Simplify right side
    40,189.82x = 1,235,967,173.14
  5. Step 5: Solve for x
    x = 1,235,967,173.14/40,189.82
  6. Step 6: Final answer
    x = 30,753.24

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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.