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Finding the Fourth Proportional to 31,614.73, 47,443.62 and 16,834.03

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Solution

The fourth proportional to 31,614.73, 47,443.62 and 16,834.03 is: 25,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.73 : 47,443.62 = 16,834.03 : x
  2. Step 2: Convert to fraction form
    31,614.73/47,443.62 = 16,834.03/x
  3. Step 3: Cross multiply
    31,614.73x = 47,443.62 × 16,834.03
  4. Step 4: Simplify right side
    31,614.73x = 798,667,266.91
  5. Step 5: Solve for x
    x = 798,667,266.91/31,614.73
  6. Step 6: Final answer
    x = 25,262.50

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1.5x scale

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.