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Finding the Fourth Proportional to 81,958.48, 113,093.34 and 46,147.57

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Solution

The fourth proportional to 81,958.48, 113,093.34 and 46,147.57 is: 63,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,958.48 : 113,093.34 = 46,147.57 : x
  2. Step 2: Convert to fraction form
    81,958.48/113,093.34 = 46,147.57/x
  3. Step 3: Cross multiply
    81,958.48x = 113,093.34 × 46,147.57
  4. Step 4: Simplify right side
    81,958.48x = 5,218,982,824.18
  5. Step 5: Solve for x
    x = 5,218,982,824.18/81,958.48
  6. Step 6: Final answer
    x = 63,678.38

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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.