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Finding the Fourth Proportional to 37,175.88, 55,772.60 and 12,216

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Solution

The fourth proportional to 37,175.88, 55,772.60 and 12,216 is: 18,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175.88 : 55,772.60 = 12,216 : x
  2. Step 2: Convert to fraction form
    37,175.88/55,772.60 = 12,216/x
  3. Step 3: Cross multiply
    37,175.88x = 55,772.60 × 12,216
  4. Step 4: Simplify right side
    37,175.88x = 681,318,020.52
  5. Step 5: Solve for x
    x = 681,318,020.52/37,175.88
  6. Step 6: Final answer
    x = 18,326.88

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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.