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Finding the Fourth Proportional to 50,728.80, 70,013.88 and 33,733.38

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Solution

The fourth proportional to 50,728.80, 70,013.88 and 33,733.38 is: 46,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,728.80 : 70,013.88 = 33,733.38 : x
  2. Step 2: Convert to fraction form
    50,728.80/70,013.88 = 33,733.38/x
  3. Step 3: Cross multiply
    50,728.80x = 70,013.88 × 33,733.38
  4. Step 4: Simplify right side
    50,728.80x = 2,361,804,819.31
  5. Step 5: Solve for x
    x = 2,361,804,819.31/50,728.80
  6. Step 6: Final answer
    x = 46,557.47

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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.