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Finding the Fourth Proportional to 34,468.34, 51,694.81 and 13,401.45

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Solution

The fourth proportional to 34,468.34, 51,694.81 and 13,401.45 is: 20,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,468.34 : 51,694.81 = 13,401.45 : x
  2. Step 2: Convert to fraction form
    34,468.34/51,694.81 = 13,401.45/x
  3. Step 3: Cross multiply
    34,468.34x = 51,694.81 × 13,401.45
  4. Step 4: Simplify right side
    34,468.34x = 692,785,377.97
  5. Step 5: Solve for x
    x = 692,785,377.97/34,468.34
  6. Step 6: Final answer
    x = 20,099.18

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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.