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Finding the Fourth Proportional to 83,677.33, 115,458.47 and 49,696.47

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Solution

The fourth proportional to 83,677.33, 115,458.47 and 49,696.47 is: 68,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,677.33 : 115,458.47 = 49,696.47 : x
  2. Step 2: Convert to fraction form
    83,677.33/115,458.47 = 49,696.47/x
  3. Step 3: Cross multiply
    83,677.33x = 115,458.47 × 49,696.47
  4. Step 4: Simplify right side
    83,677.33x = 5,737,878,328.48
  5. Step 5: Solve for x
    x = 5,737,878,328.48/83,677.33
  6. Step 6: Final answer
    x = 68,571.48

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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.