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Finding the Fourth Proportional to 52,942.66, 73,055.49 and 31,721.38

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Solution

The fourth proportional to 52,942.66, 73,055.49 and 31,721.38 is: 43,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,942.66 : 73,055.49 = 31,721.38 : x
  2. Step 2: Convert to fraction form
    52,942.66/73,055.49 = 31,721.38/x
  3. Step 3: Cross multiply
    52,942.66x = 73,055.49 × 31,721.38
  4. Step 4: Simplify right side
    52,942.66x = 2,317,420,959.38
  5. Step 5: Solve for x
    x = 2,317,420,959.38/52,942.66
  6. Step 6: Final answer
    x = 43,772.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.