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Finding the Fourth Proportional to 31,513.50, 47,237.31 and 16,718.31

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Solution

The fourth proportional to 31,513.50, 47,237.31 and 16,718.31 is: 25,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513.50 : 47,237.31 = 16,718.31 : x
  2. Step 2: Convert to fraction form
    31,513.50/47,237.31 = 16,718.31/x
  3. Step 3: Cross multiply
    31,513.50x = 47,237.31 × 16,718.31
  4. Step 4: Simplify right side
    31,513.50x = 789,727,992.15
  5. Step 5: Solve for x
    x = 789,727,992.15/31,513.50
  6. Step 6: Final answer
    x = 25,059.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.