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Finding the Fourth Proportional to 31,513.74, 47,268.99 and 8,139.57

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Solution

The fourth proportional to 31,513.74, 47,268.99 and 8,139.57 is: 12,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513.74 : 47,268.99 = 8,139.57 : x
  2. Step 2: Convert to fraction form
    31,513.74/47,268.99 = 8,139.57/x
  3. Step 3: Cross multiply
    31,513.74x = 47,268.99 × 8,139.57
  4. Step 4: Simplify right side
    31,513.74x = 384,749,252.93
  5. Step 5: Solve for x
    x = 384,749,252.93/31,513.74
  6. Step 6: Final answer
    x = 12,208.94

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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.