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Finding the Fourth Proportional to 50,532.80, 69,735.20 and 27,873.24

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Solution

The fourth proportional to 50,532.80, 69,735.20 and 27,873.24 is: 38,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,532.80 : 69,735.20 = 27,873.24 : x
  2. Step 2: Convert to fraction form
    50,532.80/69,735.20 = 27,873.24/x
  3. Step 3: Cross multiply
    50,532.80x = 69,735.20 × 27,873.24
  4. Step 4: Simplify right side
    50,532.80x = 1,943,745,966.05
  5. Step 5: Solve for x
    x = 1,943,745,966.05/50,532.80
  6. Step 6: Final answer
    x = 38,465.04

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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.