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Finding the Fourth Proportional to 31,872.24, 47,816.22 and 9,684.45

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Solution

The fourth proportional to 31,872.24, 47,816.22 and 9,684.45 is: 14,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.24 : 47,816.22 = 9,684.45 : x
  2. Step 2: Convert to fraction form
    31,872.24/47,816.22 = 9,684.45/x
  3. Step 3: Cross multiply
    31,872.24x = 47,816.22 × 9,684.45
  4. Step 4: Simplify right side
    31,872.24x = 463,073,791.78
  5. Step 5: Solve for x
    x = 463,073,791.78/31,872.24
  6. Step 6: Final answer
    x = 14,529.06

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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.