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Finding the Fourth Proportional to 48,223, 72,314.22 and 18,232.20

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Solution

The fourth proportional to 48,223, 72,314.22 and 18,232.20 is: 27,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,223 : 72,314.22 = 18,232.20 : x
  2. Step 2: Convert to fraction form
    48,223/72,314.22 = 18,232.20/x
  3. Step 3: Cross multiply
    48,223x = 72,314.22 × 18,232.20
  4. Step 4: Simplify right side
    48,223x = 1,318,447,321.88
  5. Step 5: Solve for x
    x = 1,318,447,321.88/48,223
  6. Step 6: Final answer
    x = 27,340.63

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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.