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Finding the Fourth Proportional to 38,096.87, 57,154.43 and 15,897.90

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Solution

The fourth proportional to 38,096.87, 57,154.43 and 15,897.90 is: 23,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.87 : 57,154.43 = 15,897.90 : x
  2. Step 2: Convert to fraction form
    38,096.87/57,154.43 = 15,897.90/x
  3. Step 3: Cross multiply
    38,096.87x = 57,154.43 × 15,897.90
  4. Step 4: Simplify right side
    38,096.87x = 908,635,047.44
  5. Step 5: Solve for x
    x = 908,635,047.44/38,096.87
  6. Step 6: Final answer
    x = 23,850.65

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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.