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Finding the Fourth Proportional to 38,142.44, 52,641.72 and 22,231.88

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Solution

The fourth proportional to 38,142.44, 52,641.72 and 22,231.88 is: 30,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142.44 : 52,641.72 = 22,231.88 : x
  2. Step 2: Convert to fraction form
    38,142.44/52,641.72 = 22,231.88/x
  3. Step 3: Cross multiply
    38,142.44x = 52,641.72 × 22,231.88
  4. Step 4: Simplify right side
    38,142.44x = 1,170,324,402.03
  5. Step 5: Solve for x
    x = 1,170,324,402.03/38,142.44
  6. Step 6: Final answer
    x = 30,683.00

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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.