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Finding the Fourth Proportional to 37,106.92, 55,666.14 and 12,481

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Solution

The fourth proportional to 37,106.92, 55,666.14 and 12,481 is: 18,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,106.92 : 55,666.14 = 12,481 : x
  2. Step 2: Convert to fraction form
    37,106.92/55,666.14 = 12,481/x
  3. Step 3: Cross multiply
    37,106.92x = 55,666.14 × 12,481
  4. Step 4: Simplify right side
    37,106.92x = 694,769,093.34
  5. Step 5: Solve for x
    x = 694,769,093.34/37,106.92
  6. Step 6: Final answer
    x = 18,723.44

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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.