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Finding the Fourth Proportional to 38,263.38, 57,395 and 10,183.44

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Solution

The fourth proportional to 38,263.38, 57,395 and 10,183.44 is: 15,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,263.38 : 57,395 = 10,183.44 : x
  2. Step 2: Convert to fraction form
    38,263.38/57,395 = 10,183.44/x
  3. Step 3: Cross multiply
    38,263.38x = 57,395 × 10,183.44
  4. Step 4: Simplify right side
    38,263.38x = 584,478,538.80
  5. Step 5: Solve for x
    x = 584,478,538.80/38,263.38
  6. Step 6: Final answer
    x = 15,275.14

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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.