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Finding the Fourth Proportional to 31,993.02, 47,984.10 and 8,614.26

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Solution

The fourth proportional to 31,993.02, 47,984.10 and 8,614.26 is: 12,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.02 : 47,984.10 = 8,614.26 : x
  2. Step 2: Convert to fraction form
    31,993.02/47,984.10 = 8,614.26/x
  3. Step 3: Cross multiply
    31,993.02x = 47,984.10 × 8,614.26
  4. Step 4: Simplify right side
    31,993.02x = 413,347,513.27
  5. Step 5: Solve for x
    x = 413,347,513.27/31,993.02
  6. Step 6: Final answer
    x = 12,919.93

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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.