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Finding the Fourth Proportional to 106,393.87, 146,822.56 and 57,995.79

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Solution

The fourth proportional to 106,393.87, 146,822.56 and 57,995.79 is: 80,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.87 : 146,822.56 = 57,995.79 : x
  2. Step 2: Convert to fraction form
    106,393.87/146,822.56 = 57,995.79/x
  3. Step 3: Cross multiply
    106,393.87x = 146,822.56 × 57,995.79
  4. Step 4: Simplify right side
    106,393.87x = 8,515,090,357.02
  5. Step 5: Solve for x
    x = 8,515,090,357.02/106,393.87
  6. Step 6: Final answer
    x = 80,033.66

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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.