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Finding the Fourth Proportional to 48,965.32, 73,480.80 and 31,447.44

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Solution

The fourth proportional to 48,965.32, 73,480.80 and 31,447.44 is: 47,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,965.32 : 73,480.80 = 31,447.44 : x
  2. Step 2: Convert to fraction form
    48,965.32/73,480.80 = 31,447.44/x
  3. Step 3: Cross multiply
    48,965.32x = 73,480.80 × 31,447.44
  4. Step 4: Simplify right side
    48,965.32x = 2,310,783,049.15
  5. Step 5: Solve for x
    x = 2,310,783,049.15/48,965.32
  6. Step 6: Final answer
    x = 47,192.24

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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.