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Finding the Fourth Proportional to 75,797.92, 104,601.54 and 41,807.60

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Solution

The fourth proportional to 75,797.92, 104,601.54 and 41,807.60 is: 57,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,797.92 : 104,601.54 = 41,807.60 : x
  2. Step 2: Convert to fraction form
    75,797.92/104,601.54 = 41,807.60/x
  3. Step 3: Cross multiply
    75,797.92x = 104,601.54 × 41,807.60
  4. Step 4: Simplify right side
    75,797.92x = 4,373,139,343.70
  5. Step 5: Solve for x
    x = 4,373,139,343.70/75,797.92
  6. Step 6: Final answer
    x = 57,694.71

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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.