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Finding the Fourth Proportional to 75,884.56, 104,772.52 and 49,091.92

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Solution

The fourth proportional to 75,884.56, 104,772.52 and 49,091.92 is: 67,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,884.56 : 104,772.52 = 49,091.92 : x
  2. Step 2: Convert to fraction form
    75,884.56/104,772.52 = 49,091.92/x
  3. Step 3: Cross multiply
    75,884.56x = 104,772.52 × 49,091.92
  4. Step 4: Simplify right side
    75,884.56x = 5,143,484,170.04
  5. Step 5: Solve for x
    x = 5,143,484,170.04/75,884.56
  6. Step 6: Final answer
    x = 67,780.38

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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.