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Finding the Fourth Proportional to 37,147, 55,723.06 and 12,180.44

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Solution

The fourth proportional to 37,147, 55,723.06 and 12,180.44 is: 18,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147 : 55,723.06 = 12,180.44 : x
  2. Step 2: Convert to fraction form
    37,147/55,723.06 = 12,180.44/x
  3. Step 3: Cross multiply
    37,147x = 55,723.06 × 12,180.44
  4. Step 4: Simplify right side
    37,147x = 678,731,388.95
  5. Step 5: Solve for x
    x = 678,731,388.95/37,147
  6. Step 6: Final answer
    x = 18,271.50

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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.