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Finding the Fourth Proportional to 38,343.98, 52,906.57 and 24,188.63

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Solution

The fourth proportional to 38,343.98, 52,906.57 and 24,188.63 is: 33,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,343.98 : 52,906.57 = 24,188.63 : x
  2. Step 2: Convert to fraction form
    38,343.98/52,906.57 = 24,188.63/x
  3. Step 3: Cross multiply
    38,343.98x = 52,906.57 × 24,188.63
  4. Step 4: Simplify right side
    38,343.98x = 1,279,737,121.29
  5. Step 5: Solve for x
    x = 1,279,737,121.29/38,343.98
  6. Step 6: Final answer
    x = 33,375.17

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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.