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Finding the Fourth Proportional to 38,098.89, 57,151.07 and 13,138.58

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Solution

The fourth proportional to 38,098.89, 57,151.07 and 13,138.58 is: 19,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.89 : 57,151.07 = 13,138.58 : x
  2. Step 2: Convert to fraction form
    38,098.89/57,151.07 = 13,138.58/x
  3. Step 3: Cross multiply
    38,098.89x = 57,151.07 × 13,138.58
  4. Step 4: Simplify right side
    38,098.89x = 750,883,619.53
  5. Step 5: Solve for x
    x = 750,883,619.53/38,098.89
  6. Step 6: Final answer
    x = 19,708.81

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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.