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Finding the Fourth Proportional to 75,850.38, 104,671.59 and 41,858.42

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Solution

The fourth proportional to 75,850.38, 104,671.59 and 41,858.42 is: 57,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850.38 : 104,671.59 = 41,858.42 : x
  2. Step 2: Convert to fraction form
    75,850.38/104,671.59 = 41,858.42/x
  3. Step 3: Cross multiply
    75,850.38x = 104,671.59 × 41,858.42
  4. Step 4: Simplify right side
    75,850.38x = 4,381,386,852.93
  5. Step 5: Solve for x
    x = 4,381,386,852.93/75,850.38
  6. Step 6: Final answer
    x = 57,763.55

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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.