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Finding the Fourth Proportional to 80,380.48, 110,948.16 and 48,544

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Solution

The fourth proportional to 80,380.48, 110,948.16 and 48,544 is: 67,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,380.48 : 110,948.16 = 48,544 : x
  2. Step 2: Convert to fraction form
    80,380.48/110,948.16 = 48,544/x
  3. Step 3: Cross multiply
    80,380.48x = 110,948.16 × 48,544
  4. Step 4: Simplify right side
    80,380.48x = 5,385,867,479.04
  5. Step 5: Solve for x
    x = 5,385,867,479.04/80,380.48
  6. Step 6: Final answer
    x = 67,004.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.