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Finding the Fourth Proportional to 75,947.69, 104,807.32 and 41,958.37

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Solution

The fourth proportional to 75,947.69, 104,807.32 and 41,958.37 is: 57,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,947.69 : 104,807.32 = 41,958.37 : x
  2. Step 2: Convert to fraction form
    75,947.69/104,807.32 = 41,958.37/x
  3. Step 3: Cross multiply
    75,947.69x = 104,807.32 × 41,958.37
  4. Step 4: Simplify right side
    75,947.69x = 4,397,544,337.38
  5. Step 5: Solve for x
    x = 4,397,544,337.38/75,947.69
  6. Step 6: Final answer
    x = 57,902.28

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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.