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Finding the Fourth Proportional to 40,315.72, 55,616.34 and 34,717

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Solution

The fourth proportional to 40,315.72, 55,616.34 and 34,717 is: 47,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,315.72 : 55,616.34 = 34,717 : x
  2. Step 2: Convert to fraction form
    40,315.72/55,616.34 = 34,717/x
  3. Step 3: Cross multiply
    40,315.72x = 55,616.34 × 34,717
  4. Step 4: Simplify right side
    40,315.72x = 1,930,832,475.78
  5. Step 5: Solve for x
    x = 1,930,832,475.78/40,315.72
  6. Step 6: Final answer
    x = 47,892.79

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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.