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Finding the Fourth Proportional to 33,791.51, 50,401.64 and 31,840.22

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Solution

The fourth proportional to 33,791.51, 50,401.64 and 31,840.22 is: 47,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,791.51 : 50,401.64 = 31,840.22 : x
  2. Step 2: Convert to fraction form
    33,791.51/50,401.64 = 31,840.22/x
  3. Step 3: Cross multiply
    33,791.51x = 50,401.64 × 31,840.22
  4. Step 4: Simplify right side
    33,791.51x = 1,604,799,511.57
  5. Step 5: Solve for x
    x = 1,604,799,511.57/33,791.51
  6. Step 6: Final answer
    x = 47,491.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.