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Finding the Fourth Proportional to 37,176.88, 55,774.10 and 12,217

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Solution

The fourth proportional to 37,176.88, 55,774.10 and 12,217 is: 18,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.88 : 55,774.10 = 12,217 : x
  2. Step 2: Convert to fraction form
    37,176.88/55,774.10 = 12,217/x
  3. Step 3: Cross multiply
    37,176.88x = 55,774.10 × 12,217
  4. Step 4: Simplify right side
    37,176.88x = 681,392,179.70
  5. Step 5: Solve for x
    x = 681,392,179.70/37,176.88
  6. Step 6: Final answer
    x = 18,328.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.