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Finding the Fourth Proportional to 45,344, 67,962.24 and 34,213.76

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Solution

The fourth proportional to 45,344, 67,962.24 and 34,213.76 is: 51,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,344 : 67,962.24 = 34,213.76 : x
  2. Step 2: Convert to fraction form
    45,344/67,962.24 = 34,213.76/x
  3. Step 3: Cross multiply
    45,344x = 67,962.24 × 34,213.76
  4. Step 4: Simplify right side
    45,344x = 2,325,243,768.42
  5. Step 5: Solve for x
    x = 2,325,243,768.42/45,344
  6. Step 6: Final answer
    x = 51,280.08

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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.