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Finding the Fourth Proportional to 36,841, 55,264.38 and 12,217

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Solution

The fourth proportional to 36,841, 55,264.38 and 12,217 is: 18,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,841 : 55,264.38 = 12,217 : x
  2. Step 2: Convert to fraction form
    36,841/55,264.38 = 12,217/x
  3. Step 3: Cross multiply
    36,841x = 55,264.38 × 12,217
  4. Step 4: Simplify right side
    36,841x = 675,164,930.46
  5. Step 5: Solve for x
    x = 675,164,930.46/36,841
  6. Step 6: Final answer
    x = 18,326.46

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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.