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Finding the Fourth Proportional to 37,107.20, 55,660.80 and 10,814

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Solution

The fourth proportional to 37,107.20, 55,660.80 and 10,814 is: 16,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107.20 : 55,660.80 = 10,814 : x
  2. Step 2: Convert to fraction form
    37,107.20/55,660.80 = 10,814/x
  3. Step 3: Cross multiply
    37,107.20x = 55,660.80 × 10,814
  4. Step 4: Simplify right side
    37,107.20x = 601,915,891.20
  5. Step 5: Solve for x
    x = 601,915,891.20/37,107.20
  6. Step 6: Final answer
    x = 16,221.00

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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.