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Finding the Fourth Proportional to 38,500.38, 57,758.40 and 21,868.38

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Solution

The fourth proportional to 38,500.38, 57,758.40 and 21,868.38 is: 32,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,500.38 : 57,758.40 = 21,868.38 : x
  2. Step 2: Convert to fraction form
    38,500.38/57,758.40 = 21,868.38/x
  3. Step 3: Cross multiply
    38,500.38x = 57,758.40 × 21,868.38
  4. Step 4: Simplify right side
    38,500.38x = 1,263,082,639.39
  5. Step 5: Solve for x
    x = 1,263,082,639.39/38,500.38
  6. Step 6: Final answer
    x = 32,807.02

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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.