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Finding the Fourth Proportional to 31,667, 47,500.50 and 13,199

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Solution

The fourth proportional to 31,667, 47,500.50 and 13,199 is: 19,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667 : 47,500.50 = 13,199 : x
  2. Step 2: Convert to fraction form
    31,667/47,500.50 = 13,199/x
  3. Step 3: Cross multiply
    31,667x = 47,500.50 × 13,199
  4. Step 4: Simplify right side
    31,667x = 626,959,099.50
  5. Step 5: Solve for x
    x = 626,959,099.50/31,667
  6. Step 6: Final answer
    x = 19,798.50

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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.