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Finding the Fourth Proportional to 38,025.30, 57,007.14 and 15,855.30

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Solution

The fourth proportional to 38,025.30, 57,007.14 and 15,855.30 is: 23,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025.30 : 57,007.14 = 15,855.30 : x
  2. Step 2: Convert to fraction form
    38,025.30/57,007.14 = 15,855.30/x
  3. Step 3: Cross multiply
    38,025.30x = 57,007.14 × 15,855.30
  4. Step 4: Simplify right side
    38,025.30x = 903,865,306.84
  5. Step 5: Solve for x
    x = 903,865,306.84/38,025.30
  6. Step 6: Final answer
    x = 23,770.10

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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.