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Finding the Fourth Proportional to 36,709.76, 55,064.61 and 10,414.73

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Solution

The fourth proportional to 36,709.76, 55,064.61 and 10,414.73 is: 15,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,709.76 : 55,064.61 = 10,414.73 : x
  2. Step 2: Convert to fraction form
    36,709.76/55,064.61 = 10,414.73/x
  3. Step 3: Cross multiply
    36,709.76x = 55,064.61 × 10,414.73
  4. Step 4: Simplify right side
    36,709.76x = 573,483,045.71
  5. Step 5: Solve for x
    x = 573,483,045.71/36,709.76
  6. Step 6: Final answer
    x = 15,622.09

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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.