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Finding the Fourth Proportional to 50,532.93, 69,735.94 and 27,872.84

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Solution

The fourth proportional to 50,532.93, 69,735.94 and 27,872.84 is: 38,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,532.93 : 69,735.94 = 27,872.84 : x
  2. Step 2: Convert to fraction form
    50,532.93/69,735.94 = 27,872.84/x
  3. Step 3: Cross multiply
    50,532.93x = 69,735.94 × 27,872.84
  4. Step 4: Simplify right side
    50,532.93x = 1,943,738,802.53
  5. Step 5: Solve for x
    x = 1,943,738,802.53/50,532.93
  6. Step 6: Final answer
    x = 38,464.80

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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.