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Finding the Fourth Proportional to 31,656.42, 47,471.13 and 9,469.44

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Solution

The fourth proportional to 31,656.42, 47,471.13 and 9,469.44 is: 14,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.42 : 47,471.13 = 9,469.44 : x
  2. Step 2: Convert to fraction form
    31,656.42/47,471.13 = 9,469.44/x
  3. Step 3: Cross multiply
    31,656.42x = 47,471.13 × 9,469.44
  4. Step 4: Simplify right side
    31,656.42x = 449,525,017.27
  5. Step 5: Solve for x
    x = 449,525,017.27/31,656.42
  6. Step 6: Final answer
    x = 14,200.12

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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.