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Finding the Fourth Proportional to 75,889.64, 104,727.54 and 42,355.64

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Solution

The fourth proportional to 75,889.64, 104,727.54 and 42,355.64 is: 58,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889.64 : 104,727.54 = 42,355.64 : x
  2. Step 2: Convert to fraction form
    75,889.64/104,727.54 = 42,355.64/x
  3. Step 3: Cross multiply
    75,889.64x = 104,727.54 × 42,355.64
  4. Step 4: Simplify right side
    75,889.64x = 4,435,801,982.33
  5. Step 5: Solve for x
    x = 4,435,801,982.33/75,889.64
  6. Step 6: Final answer
    x = 58,450.69

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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.