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Finding the Fourth Proportional to 83,924.82, 115,777.14 and 49,914.24

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Solution

The fourth proportional to 83,924.82, 115,777.14 and 49,914.24 is: 68,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,924.82 : 115,777.14 = 49,914.24 : x
  2. Step 2: Convert to fraction form
    83,924.82/115,777.14 = 49,914.24/x
  3. Step 3: Cross multiply
    83,924.82x = 115,777.14 × 49,914.24
  4. Step 4: Simplify right side
    83,924.82x = 5,778,927,952.47
  5. Step 5: Solve for x
    x = 5,778,927,952.47/83,924.82
  6. Step 6: Final answer
    x = 68,858.39

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1.5x scale

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.