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Finding the Fourth Proportional to 37,938.38, 52,372.67 and 22,019.75

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Solution

The fourth proportional to 37,938.38, 52,372.67 and 22,019.75 is: 30,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,938.38 : 52,372.67 = 22,019.75 : x
  2. Step 2: Convert to fraction form
    37,938.38/52,372.67 = 22,019.75/x
  3. Step 3: Cross multiply
    37,938.38x = 52,372.67 × 22,019.75
  4. Step 4: Simplify right side
    37,938.38x = 1,153,232,728.27
  5. Step 5: Solve for x
    x = 1,153,232,728.27/37,938.38
  6. Step 6: Final answer
    x = 30,397.53

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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.