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Finding the Fourth Proportional to 38,644.88, 57,967.32 and 21,105.14

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Solution

The fourth proportional to 38,644.88, 57,967.32 and 21,105.14 is: 31,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.88 : 57,967.32 = 21,105.14 : x
  2. Step 2: Convert to fraction form
    38,644.88/57,967.32 = 21,105.14/x
  3. Step 3: Cross multiply
    38,644.88x = 57,967.32 × 21,105.14
  4. Step 4: Simplify right side
    38,644.88x = 1,223,408,404.02
  5. Step 5: Solve for x
    x = 1,223,408,404.02/38,644.88
  6. Step 6: Final answer
    x = 31,657.71

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