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Finding the Fourth Proportional to 48,381.78, 72,593.46 and 26,211

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Solution

The fourth proportional to 48,381.78, 72,593.46 and 26,211 is: 39,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,381.78 : 72,593.46 = 26,211 : x
  2. Step 2: Convert to fraction form
    48,381.78/72,593.46 = 26,211/x
  3. Step 3: Cross multiply
    48,381.78x = 72,593.46 × 26,211
  4. Step 4: Simplify right side
    48,381.78x = 1,902,747,180.06
  5. Step 5: Solve for x
    x = 1,902,747,180.06/48,381.78
  6. Step 6: Final answer
    x = 39,327.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.