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Finding the Fourth Proportional to 83,291.31, 114,942.92 and 45,564.75

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Solution

The fourth proportional to 83,291.31, 114,942.92 and 45,564.75 is: 62,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,291.31 : 114,942.92 = 45,564.75 : x
  2. Step 2: Convert to fraction form
    83,291.31/114,942.92 = 45,564.75/x
  3. Step 3: Cross multiply
    83,291.31x = 114,942.92 × 45,564.75
  4. Step 4: Simplify right side
    83,291.31x = 5,237,345,186.25
  5. Step 5: Solve for x
    x = 5,237,345,186.25/83,291.31
  6. Step 6: Final answer
    x = 62,879.85

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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.