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Finding the Fourth Proportional to 31,874.34, 47,833.29 and 11,097.84

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Solution

The fourth proportional to 31,874.34, 47,833.29 and 11,097.84 is: 16,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.34 : 47,833.29 = 11,097.84 : x
  2. Step 2: Convert to fraction form
    31,874.34/47,833.29 = 11,097.84/x
  3. Step 3: Cross multiply
    31,874.34x = 47,833.29 × 11,097.84
  4. Step 4: Simplify right side
    31,874.34x = 530,846,199.09
  5. Step 5: Solve for x
    x = 530,846,199.09/31,874.34
  6. Step 6: Final answer
    x = 16,654.34

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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.