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Finding the Fourth Proportional to 27,032.49, 40,438.58 and 22,846.41

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Solution

The fourth proportional to 27,032.49, 40,438.58 and 22,846.41 is: 34,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,032.49 : 40,438.58 = 22,846.41 : x
  2. Step 2: Convert to fraction form
    27,032.49/40,438.58 = 22,846.41/x
  3. Step 3: Cross multiply
    27,032.49x = 40,438.58 × 22,846.41
  4. Step 4: Simplify right side
    27,032.49x = 923,876,264.27
  5. Step 5: Solve for x
    x = 923,876,264.27/27,032.49
  6. Step 6: Final answer
    x = 34,176.51

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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.