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Finding the Fourth Proportional to 37,205.97, 55,817.04 and 12,248.56

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Solution

The fourth proportional to 37,205.97, 55,817.04 and 12,248.56 is: 18,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.97 : 55,817.04 = 12,248.56 : x
  2. Step 2: Convert to fraction form
    37,205.97/55,817.04 = 12,248.56/x
  3. Step 3: Cross multiply
    37,205.97x = 55,817.04 × 12,248.56
  4. Step 4: Simplify right side
    37,205.97x = 683,678,363.46
  5. Step 5: Solve for x
    x = 683,678,363.46/37,205.97
  6. Step 6: Final answer
    x = 18,375.50

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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.