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Finding the Fourth Proportional to 80,046.32, 110,502.50 and 51,408.72

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Solution

The fourth proportional to 80,046.32, 110,502.50 and 51,408.72 is: 70,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,046.32 : 110,502.50 = 51,408.72 : x
  2. Step 2: Convert to fraction form
    80,046.32/110,502.50 = 51,408.72/x
  3. Step 3: Cross multiply
    80,046.32x = 110,502.50 × 51,408.72
  4. Step 4: Simplify right side
    80,046.32x = 5,680,791,824.76
  5. Step 5: Solve for x
    x = 5,680,791,824.76/80,046.32
  6. Step 6: Final answer
    x = 70,968.81

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