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Finding the Fourth Proportional to 28,512.40, 42,719.50 and 20,178.70

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Solution

The fourth proportional to 28,512.40, 42,719.50 and 20,178.70 is: 30,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,512.40 : 42,719.50 = 20,178.70 : x
  2. Step 2: Convert to fraction form
    28,512.40/42,719.50 = 20,178.70/x
  3. Step 3: Cross multiply
    28,512.40x = 42,719.50 × 20,178.70
  4. Step 4: Simplify right side
    28,512.40x = 862,023,974.65
  5. Step 5: Solve for x
    x = 862,023,974.65/28,512.40
  6. Step 6: Final answer
    x = 30,233.30

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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.