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Finding the Fourth Proportional to 37,227.92, 55,841.88 and 12,602

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Solution

The fourth proportional to 37,227.92, 55,841.88 and 12,602 is: 18,903

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227.92 : 55,841.88 = 12,602 : x
  2. Step 2: Convert to fraction form
    37,227.92/55,841.88 = 12,602/x
  3. Step 3: Cross multiply
    37,227.92x = 55,841.88 × 12,602
  4. Step 4: Simplify right side
    37,227.92x = 703,719,371.76
  5. Step 5: Solve for x
    x = 703,719,371.76/37,227.92
  6. Step 6: Final answer
    x = 18,903

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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.