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Finding the Fourth Proportional to 52,940.97, 73,053.16 and 31,719.69

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Solution

The fourth proportional to 52,940.97, 73,053.16 and 31,719.69 is: 43,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,940.97 : 73,053.16 = 31,719.69 : x
  2. Step 2: Convert to fraction form
    52,940.97/73,053.16 = 31,719.69/x
  3. Step 3: Cross multiply
    52,940.97x = 73,053.16 × 31,719.69
  4. Step 4: Simplify right side
    52,940.97x = 2,317,223,588.72
  5. Step 5: Solve for x
    x = 2,317,223,588.72/52,940.97
  6. Step 6: Final answer
    x = 43,769.95

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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.