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Finding the Fourth Proportional to 38,104.97, 57,160.16 and 13,144.64

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Solution

The fourth proportional to 38,104.97, 57,160.16 and 13,144.64 is: 19,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104.97 : 57,160.16 = 13,144.64 : x
  2. Step 2: Convert to fraction form
    38,104.97/57,160.16 = 13,144.64/x
  3. Step 3: Cross multiply
    38,104.97x = 57,160.16 × 13,144.64
  4. Step 4: Simplify right side
    38,104.97x = 751,349,374.02
  5. Step 5: Solve for x
    x = 751,349,374.02/38,104.97
  6. Step 6: Final answer
    x = 19,717.89

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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.