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Finding the Fourth Proportional to 55,043.36, 75,957.38 and 31,169.53

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Solution

The fourth proportional to 55,043.36, 75,957.38 and 31,169.53 is: 43,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,043.36 : 75,957.38 = 31,169.53 : x
  2. Step 2: Convert to fraction form
    55,043.36/75,957.38 = 31,169.53/x
  3. Step 3: Cross multiply
    55,043.36x = 75,957.38 × 31,169.53
  4. Step 4: Simplify right side
    55,043.36x = 2,367,555,299.00
  5. Step 5: Solve for x
    x = 2,367,555,299.00/55,043.36
  6. Step 6: Final answer
    x = 43,012.55

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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.