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Finding the Fourth Proportional to 31,170.50, 46,760.36 and 11,447.52

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Solution

The fourth proportional to 31,170.50, 46,760.36 and 11,447.52 is: 17,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.50 : 46,760.36 = 11,447.52 : x
  2. Step 2: Convert to fraction form
    31,170.50/46,760.36 = 11,447.52/x
  3. Step 3: Cross multiply
    31,170.50x = 46,760.36 × 11,447.52
  4. Step 4: Simplify right side
    31,170.50x = 535,290,099.07
  5. Step 5: Solve for x
    x = 535,290,099.07/31,170.50
  6. Step 6: Final answer
    x = 17,172.97

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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.