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Finding the Fourth Proportional to 83,367.99, 115,054.22 and 47,558.79

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Solution

The fourth proportional to 83,367.99, 115,054.22 and 47,558.79 is: 65,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,367.99 : 115,054.22 = 47,558.79 : x
  2. Step 2: Convert to fraction form
    83,367.99/115,054.22 = 47,558.79/x
  3. Step 3: Cross multiply
    83,367.99x = 115,054.22 × 47,558.79
  4. Step 4: Simplify right side
    83,367.99x = 5,471,839,249.80
  5. Step 5: Solve for x
    x = 5,471,839,249.80/83,367.99
  6. Step 6: Final answer
    x = 65,634.77

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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.