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Finding the Fourth Proportional to 83,822.97, 115,673.38 and 46,097.22

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Solution

The fourth proportional to 83,822.97, 115,673.38 and 46,097.22 is: 63,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,822.97 : 115,673.38 = 46,097.22 : x
  2. Step 2: Convert to fraction form
    83,822.97/115,673.38 = 46,097.22/x
  3. Step 3: Cross multiply
    83,822.97x = 115,673.38 × 46,097.22
  4. Step 4: Simplify right side
    83,822.97x = 5,332,221,246.00
  5. Step 5: Solve for x
    x = 5,332,221,246.00/83,822.97
  6. Step 6: Final answer
    x = 63,612.89

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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.