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Finding the Fourth Proportional to 83,107.62, 114,696.81 and 49,573.62

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Solution

The fourth proportional to 83,107.62, 114,696.81 and 49,573.62 is: 68,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,107.62 : 114,696.81 = 49,573.62 : x
  2. Step 2: Convert to fraction form
    83,107.62/114,696.81 = 49,573.62/x
  3. Step 3: Cross multiply
    83,107.62x = 114,696.81 × 49,573.62
  4. Step 4: Simplify right side
    83,107.62x = 5,685,936,074.15
  5. Step 5: Solve for x
    x = 5,685,936,074.15/83,107.62
  6. Step 6: Final answer
    x = 68,416.54

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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.