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Finding the Fourth Proportional to 38,344.74, 52,907.60 and 24,189.38

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Solution

The fourth proportional to 38,344.74, 52,907.60 and 24,189.38 is: 33,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,344.74 : 52,907.60 = 24,189.38 : x
  2. Step 2: Convert to fraction form
    38,344.74/52,907.60 = 24,189.38/x
  3. Step 3: Cross multiply
    38,344.74x = 52,907.60 × 24,189.38
  4. Step 4: Simplify right side
    38,344.74x = 1,279,801,776.75
  5. Step 5: Solve for x
    x = 1,279,801,776.75/38,344.74
  6. Step 6: Final answer
    x = 33,376.21

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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.