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Finding the Fourth Proportional to 50,690.88, 69,976.08 and 33,725.16

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Solution

The fourth proportional to 50,690.88, 69,976.08 and 33,725.16 is: 46,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,690.88 : 69,976.08 = 33,725.16 : x
  2. Step 2: Convert to fraction form
    50,690.88/69,976.08 = 33,725.16/x
  3. Step 3: Cross multiply
    50,690.88x = 69,976.08 × 33,725.16
  4. Step 4: Simplify right side
    50,690.88x = 2,359,954,494.17
  5. Step 5: Solve for x
    x = 2,359,954,494.17/50,690.88
  6. Step 6: Final answer
    x = 46,555.80

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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.