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Finding the Fourth Proportional to 99,959.94, 137,939.40 and 54,629.19

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Solution

The fourth proportional to 99,959.94, 137,939.40 and 54,629.19 is: 75,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,959.94 : 137,939.40 = 54,629.19 : x
  2. Step 2: Convert to fraction form
    99,959.94/137,939.40 = 54,629.19/x
  3. Step 3: Cross multiply
    99,959.94x = 137,939.40 × 54,629.19
  4. Step 4: Simplify right side
    99,959.94x = 7,535,517,691.09
  5. Step 5: Solve for x
    x = 7,535,517,691.09/99,959.94
  6. Step 6: Final answer
    x = 75,385.38

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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.