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Finding the Fourth Proportional to 83,754.99, 115,542.54 and 49,764.51

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Solution

The fourth proportional to 83,754.99, 115,542.54 and 49,764.51 is: 68,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754.99 : 115,542.54 = 49,764.51 : x
  2. Step 2: Convert to fraction form
    83,754.99/115,542.54 = 49,764.51/x
  3. Step 3: Cross multiply
    83,754.99x = 115,542.54 × 49,764.51
  4. Step 4: Simplify right side
    83,754.99x = 5,749,917,887.26
  5. Step 5: Solve for x
    x = 5,749,917,887.26/83,754.99
  6. Step 6: Final answer
    x = 68,651.65

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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.