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Finding the Fourth Proportional to 33,122.82, 49,569.41 and 31,745.01

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Solution

The fourth proportional to 33,122.82, 49,569.41 and 31,745.01 is: 47,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.82 : 49,569.41 = 31,745.01 : x
  2. Step 2: Convert to fraction form
    33,122.82/49,569.41 = 31,745.01/x
  3. Step 3: Cross multiply
    33,122.82x = 49,569.41 × 31,745.01
  4. Step 4: Simplify right side
    33,122.82x = 1,573,581,313.28
  5. Step 5: Solve for x
    x = 1,573,581,313.28/33,122.82
  6. Step 6: Final answer
    x = 47,507.47

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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.