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Finding the Fourth Proportional to 34,562.92, 51,844.29 and 13,801

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Solution

The fourth proportional to 34,562.92, 51,844.29 and 13,801 is: 20,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,562.92 : 51,844.29 = 13,801 : x
  2. Step 2: Convert to fraction form
    34,562.92/51,844.29 = 13,801/x
  3. Step 3: Cross multiply
    34,562.92x = 51,844.29 × 13,801
  4. Step 4: Simplify right side
    34,562.92x = 715,503,046.29
  5. Step 5: Solve for x
    x = 715,503,046.29/34,562.92
  6. Step 6: Final answer
    x = 20,701.46

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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.