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Finding the Fourth Proportional to 48,025, 72,049.02 and 15,193

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Solution

The fourth proportional to 48,025, 72,049.02 and 15,193 is: 22,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,025 : 72,049.02 = 15,193 : x
  2. Step 2: Convert to fraction form
    48,025/72,049.02 = 15,193/x
  3. Step 3: Cross multiply
    48,025x = 72,049.02 × 15,193
  4. Step 4: Simplify right side
    48,025x = 1,094,640,760.86
  5. Step 5: Solve for x
    x = 1,094,640,760.86/48,025
  6. Step 6: Final answer
    x = 22,793.14

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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.