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Finding the Fourth Proportional to 68,016, 93,867.84 and 38,213.76

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Solution

The fourth proportional to 68,016, 93,867.84 and 38,213.76 is: 52,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,016 : 93,867.84 = 38,213.76 : x
  2. Step 2: Convert to fraction form
    68,016/93,867.84 = 38,213.76/x
  3. Step 3: Cross multiply
    68,016x = 93,867.84 × 38,213.76
  4. Step 4: Simplify right side
    68,016x = 3,587,043,109.48
  5. Step 5: Solve for x
    x = 3,587,043,109.48/68,016
  6. Step 6: Final answer
    x = 52,738.22

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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.