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Finding the Fourth Proportional to 36,542.90, 50,431.02 and 22,202.84

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Solution

The fourth proportional to 36,542.90, 50,431.02 and 22,202.84 is: 30,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,542.90 : 50,431.02 = 22,202.84 : x
  2. Step 2: Convert to fraction form
    36,542.90/50,431.02 = 22,202.84/x
  3. Step 3: Cross multiply
    36,542.90x = 50,431.02 × 22,202.84
  4. Step 4: Simplify right side
    36,542.90x = 1,119,711,868.10
  5. Step 5: Solve for x
    x = 1,119,711,868.10/36,542.90
  6. Step 6: Final answer
    x = 30,641.02

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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.