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Finding the Fourth Proportional to 67,849, 93,631.62 and 41,353

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Solution

The fourth proportional to 67,849, 93,631.62 and 41,353 is: 57,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,849 : 93,631.62 = 41,353 : x
  2. Step 2: Convert to fraction form
    67,849/93,631.62 = 41,353/x
  3. Step 3: Cross multiply
    67,849x = 93,631.62 × 41,353
  4. Step 4: Simplify right side
    67,849x = 3,871,948,381.86
  5. Step 5: Solve for x
    x = 3,871,948,381.86/67,849
  6. Step 6: Final answer
    x = 57,067.14

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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.