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Finding the Fourth Proportional to 48,717, 73,074.24 and 13,181.76

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Solution

The fourth proportional to 48,717, 73,074.24 and 13,181.76 is: 19,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,717 : 73,074.24 = 13,181.76 : x
  2. Step 2: Convert to fraction form
    48,717/73,074.24 = 13,181.76/x
  3. Step 3: Cross multiply
    48,717x = 73,074.24 × 13,181.76
  4. Step 4: Simplify right side
    48,717x = 963,247,093.86
  5. Step 5: Solve for x
    x = 963,247,093.86/48,717
  6. Step 6: Final answer
    x = 19,772.30

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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.