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Finding the Fourth Proportional to 45,914, 68,882.56 and 13,082

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Solution

The fourth proportional to 45,914, 68,882.56 and 13,082 is: 19,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,914 : 68,882.56 = 13,082 : x
  2. Step 2: Convert to fraction form
    45,914/68,882.56 = 13,082/x
  3. Step 3: Cross multiply
    45,914x = 68,882.56 × 13,082
  4. Step 4: Simplify right side
    45,914x = 901,121,649.92
  5. Step 5: Solve for x
    x = 901,121,649.92/45,914
  6. Step 6: Final answer
    x = 19,626.29

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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.