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Finding the Fourth Proportional to 31,395.24, 47,092.80 and 8,021.64

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Solution

The fourth proportional to 31,395.24, 47,092.80 and 8,021.64 is: 12,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,395.24 : 47,092.80 = 8,021.64 : x
  2. Step 2: Convert to fraction form
    31,395.24/47,092.80 = 8,021.64/x
  3. Step 3: Cross multiply
    31,395.24x = 47,092.80 × 8,021.64
  4. Step 4: Simplify right side
    31,395.24x = 377,761,488.19
  5. Step 5: Solve for x
    x = 377,761,488.19/31,395.24
  6. Step 6: Final answer
    x = 12,032.44

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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.