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Finding the Fourth Proportional to 31,745.60, 47,618.81 and 21,882.23

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Solution

The fourth proportional to 31,745.60, 47,618.81 and 21,882.23 is: 32,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.60 : 47,618.81 = 21,882.23 : x
  2. Step 2: Convert to fraction form
    31,745.60/47,618.81 = 21,882.23/x
  3. Step 3: Cross multiply
    31,745.60x = 47,618.81 × 21,882.23
  4. Step 4: Simplify right side
    31,745.60x = 1,042,005,643.34
  5. Step 5: Solve for x
    x = 1,042,005,643.34/31,745.60
  6. Step 6: Final answer
    x = 32,823.62

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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.