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Finding the Fourth Proportional to 81,992.29, 113,110.68 and 47,979.72

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Solution

The fourth proportional to 81,992.29, 113,110.68 and 47,979.72 is: 66,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,992.29 : 113,110.68 = 47,979.72 : x
  2. Step 2: Convert to fraction form
    81,992.29/113,110.68 = 47,979.72/x
  3. Step 3: Cross multiply
    81,992.29x = 113,110.68 × 47,979.72
  4. Step 4: Simplify right side
    81,992.29x = 5,427,018,161.60
  5. Step 5: Solve for x
    x = 5,427,018,161.60/81,992.29
  6. Step 6: Final answer
    x = 66,189.38

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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.