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Finding the Fourth Proportional to 31,865.79, 47,745.50 and 22,490.31

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Solution

The fourth proportional to 31,865.79, 47,745.50 and 22,490.31 is: 33,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,865.79 : 47,745.50 = 22,490.31 : x
  2. Step 2: Convert to fraction form
    31,865.79/47,745.50 = 22,490.31/x
  3. Step 3: Cross multiply
    31,865.79x = 47,745.50 × 22,490.31
  4. Step 4: Simplify right side
    31,865.79x = 1,073,810,983.65
  5. Step 5: Solve for x
    x = 1,073,810,983.65/31,865.79
  6. Step 6: Final answer
    x = 33,697.92

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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.