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Finding the Fourth Proportional to 31,712.11, 47,564.37 and 8,340.37

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Solution

The fourth proportional to 31,712.11, 47,564.37 and 8,340.37 is: 12,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.11 : 47,564.37 = 8,340.37 : x
  2. Step 2: Convert to fraction form
    31,712.11/47,564.37 = 8,340.37/x
  3. Step 3: Cross multiply
    31,712.11x = 47,564.37 × 8,340.37
  4. Step 4: Simplify right side
    31,712.11x = 396,704,444.62
  5. Step 5: Solve for x
    x = 396,704,444.62/31,712.11
  6. Step 6: Final answer
    x = 12,509.56

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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.