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Finding the Fourth Proportional to 31,762.50, 47,619.15 and 18,414.97

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Solution

The fourth proportional to 31,762.50, 47,619.15 and 18,414.97 is: 27,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.50 : 47,619.15 = 18,414.97 : x
  2. Step 2: Convert to fraction form
    31,762.50/47,619.15 = 18,414.97/x
  3. Step 3: Cross multiply
    31,762.50x = 47,619.15 × 18,414.97
  4. Step 4: Simplify right side
    31,762.50x = 876,904,888.50
  5. Step 5: Solve for x
    x = 876,904,888.50/31,762.50
  6. Step 6: Final answer
    x = 27,608.18

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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.