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Finding the Fourth Proportional to 68,258.82, 102,434.31 and 23,885.96

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Solution

The fourth proportional to 68,258.82, 102,434.31 and 23,885.96 is: 35,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,258.82 : 102,434.31 = 23,885.96 : x
  2. Step 2: Convert to fraction form
    68,258.82/102,434.31 = 23,885.96/x
  3. Step 3: Cross multiply
    68,258.82x = 102,434.31 × 23,885.96
  4. Step 4: Simplify right side
    68,258.82x = 2,446,741,319.12
  5. Step 5: Solve for x
    x = 2,446,741,319.12/68,258.82
  6. Step 6: Final answer
    x = 35,845.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.