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Finding the Fourth Proportional to 81,672.75, 112,727.84 and 49,868.51

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Solution

The fourth proportional to 81,672.75, 112,727.84 and 49,868.51 is: 68,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,672.75 : 112,727.84 = 49,868.51 : x
  2. Step 2: Convert to fraction form
    81,672.75/112,727.84 = 49,868.51/x
  3. Step 3: Cross multiply
    81,672.75x = 112,727.84 × 49,868.51
  4. Step 4: Simplify right side
    81,672.75x = 5,621,568,603.34
  5. Step 5: Solve for x
    x = 5,621,568,603.34/81,672.75
  6. Step 6: Final answer
    x = 68,830.41

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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.