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Finding the Fourth Proportional to 48,651.20, 72,823.20 and 47,115.20

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Solution

The fourth proportional to 48,651.20, 72,823.20 and 47,115.20 is: 70,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,651.20 : 72,823.20 = 47,115.20 : x
  2. Step 2: Convert to fraction form
    48,651.20/72,823.20 = 47,115.20/x
  3. Step 3: Cross multiply
    48,651.20x = 72,823.20 × 47,115.20
  4. Step 4: Simplify right side
    48,651.20x = 3,431,079,632.64
  5. Step 5: Solve for x
    x = 3,431,079,632.64/48,651.20
  6. Step 6: Final answer
    x = 70,524.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.