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Finding the Fourth Proportional to 83,924.03, 115,815.17 and 46,198.28

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Solution

The fourth proportional to 83,924.03, 115,815.17 and 46,198.28 is: 63,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,924.03 : 115,815.17 = 46,198.28 : x
  2. Step 2: Convert to fraction form
    83,924.03/115,815.17 = 46,198.28/x
  3. Step 3: Cross multiply
    83,924.03x = 115,815.17 × 46,198.28
  4. Step 4: Simplify right side
    83,924.03x = 5,350,460,841.84
  5. Step 5: Solve for x
    x = 5,350,460,841.84/83,924.03
  6. Step 6: Final answer
    x = 63,753.63

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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.