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Finding the Fourth Proportional to 80,224, 110,709.36 and 44,416.48

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Solution

The fourth proportional to 80,224, 110,709.36 and 44,416.48 is: 61,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,224 : 110,709.36 = 44,416.48 : x
  2. Step 2: Convert to fraction form
    80,224/110,709.36 = 44,416.48/x
  3. Step 3: Cross multiply
    80,224x = 110,709.36 × 44,416.48
  4. Step 4: Simplify right side
    80,224x = 4,917,320,074.25
  5. Step 5: Solve for x
    x = 4,917,320,074.25/80,224
  6. Step 6: Final answer
    x = 61,294.88

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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.