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Finding the Fourth Proportional to 81,944.36, 113,085.32 and 46,135.65

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Solution

The fourth proportional to 81,944.36, 113,085.32 and 46,135.65 is: 63,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,944.36 : 113,085.32 = 46,135.65 : x
  2. Step 2: Convert to fraction form
    81,944.36/113,085.32 = 46,135.65/x
  3. Step 3: Cross multiply
    81,944.36x = 113,085.32 × 46,135.65
  4. Step 4: Simplify right side
    81,944.36x = 5,217,264,743.66
  5. Step 5: Solve for x
    x = 5,217,264,743.66/81,944.36
  6. Step 6: Final answer
    x = 63,668.38

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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.