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Finding the Fourth Proportional to 81,706.32, 112,766.92 and 49,893.52

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Solution

The fourth proportional to 81,706.32, 112,766.92 and 49,893.52 is: 68,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,706.32 : 112,766.92 = 49,893.52 : x
  2. Step 2: Convert to fraction form
    81,706.32/112,766.92 = 49,893.52/x
  3. Step 3: Cross multiply
    81,706.32x = 112,766.92 × 49,893.52
  4. Step 4: Simplify right side
    81,706.32x = 5,626,338,578.36
  5. Step 5: Solve for x
    x = 5,626,338,578.36/81,706.32
  6. Step 6: Final answer
    x = 68,860.51

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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.