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Finding the Fourth Proportional to 80,748.64, 121,139.16 and 28,144

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Solution

The fourth proportional to 80,748.64, 121,139.16 and 28,144 is: 42,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748.64 : 121,139.16 = 28,144 : x
  2. Step 2: Convert to fraction form
    80,748.64/121,139.16 = 28,144/x
  3. Step 3: Cross multiply
    80,748.64x = 121,139.16 × 28,144
  4. Step 4: Simplify right side
    80,748.64x = 3,409,340,519.04
  5. Step 5: Solve for x
    x = 3,409,340,519.04/80,748.64
  6. Step 6: Final answer
    x = 42,221.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.