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Finding the Fourth Proportional to 32,176.20, 48,264.30 and 20,512.20

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Solution

The fourth proportional to 32,176.20, 48,264.30 and 20,512.20 is: 30,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.20 : 48,264.30 = 20,512.20 : x
  2. Step 2: Convert to fraction form
    32,176.20/48,264.30 = 20,512.20/x
  3. Step 3: Cross multiply
    32,176.20x = 48,264.30 × 20,512.20
  4. Step 4: Simplify right side
    32,176.20x = 990,006,974.46
  5. Step 5: Solve for x
    x = 990,006,974.46/32,176.20
  6. Step 6: Final answer
    x = 30,768.30

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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.