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Finding the Fourth Proportional to 83,863.80, 115,722.54 and 46,135.80

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Solution

The fourth proportional to 83,863.80, 115,722.54 and 46,135.80 is: 63,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,863.80 : 115,722.54 = 46,135.80 : x
  2. Step 2: Convert to fraction form
    83,863.80/115,722.54 = 46,135.80/x
  3. Step 3: Cross multiply
    83,863.80x = 115,722.54 × 46,135.80
  4. Step 4: Simplify right side
    83,863.80x = 5,338,951,960.93
  5. Step 5: Solve for x
    x = 5,338,951,960.93/83,863.80
  6. Step 6: Final answer
    x = 63,662.18

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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.