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Finding the Fourth Proportional to 31,340.14, 47,051.92 and 18,201.94

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Solution

The fourth proportional to 31,340.14, 47,051.92 and 18,201.94 is: 27,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.14 : 47,051.92 = 18,201.94 : x
  2. Step 2: Convert to fraction form
    31,340.14/47,051.92 = 18,201.94/x
  3. Step 3: Cross multiply
    31,340.14x = 47,051.92 × 18,201.94
  4. Step 4: Simplify right side
    31,340.14x = 856,436,129.85
  5. Step 5: Solve for x
    x = 856,436,129.85/31,340.14
  6. Step 6: Final answer
    x = 27,327.13

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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.