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Finding the Fourth Proportional to 75,334, 103,960.84 and 41,342.68

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Solution

The fourth proportional to 75,334, 103,960.84 and 41,342.68 is: 57,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,334 : 103,960.84 = 41,342.68 : x
  2. Step 2: Convert to fraction form
    75,334/103,960.84 = 41,342.68/x
  3. Step 3: Cross multiply
    75,334x = 103,960.84 × 41,342.68
  4. Step 4: Simplify right side
    75,334x = 4,298,019,740.65
  5. Step 5: Solve for x
    x = 4,298,019,740.65/75,334
  6. Step 6: Final answer
    x = 57,052.85

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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.