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Finding the Fourth Proportional to 31,986, 47,979 and 11,209.50

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Solution

The fourth proportional to 31,986, 47,979 and 11,209.50 is: 16,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,986 : 47,979 = 11,209.50 : x
  2. Step 2: Convert to fraction form
    31,986/47,979 = 11,209.50/x
  3. Step 3: Cross multiply
    31,986x = 47,979 × 11,209.50
  4. Step 4: Simplify right side
    31,986x = 537,820,600.50
  5. Step 5: Solve for x
    x = 537,820,600.50/31,986
  6. Step 6: Final answer
    x = 16,814.25

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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.