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Finding the Fourth Proportional to 67,846, 93,627.48 and 41,350

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Solution

The fourth proportional to 67,846, 93,627.48 and 41,350 is: 57,063

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,846 : 93,627.48 = 41,350 : x
  2. Step 2: Convert to fraction form
    67,846/93,627.48 = 41,350/x
  3. Step 3: Cross multiply
    67,846x = 93,627.48 × 41,350
  4. Step 4: Simplify right side
    67,846x = 3,871,496,298
  5. Step 5: Solve for x
    x = 3,871,496,298/67,846
  6. Step 6: Final answer
    x = 57,063

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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.