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Finding the Fourth Proportional to 50,470.24, 69,648.24 and 28,114.24

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Solution

The fourth proportional to 50,470.24, 69,648.24 and 28,114.24 is: 38,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.24 : 69,648.24 = 28,114.24 : x
  2. Step 2: Convert to fraction form
    50,470.24/69,648.24 = 28,114.24/x
  3. Step 3: Cross multiply
    50,470.24x = 69,648.24 × 28,114.24
  4. Step 4: Simplify right side
    50,470.24x = 1,958,107,334.94
  5. Step 5: Solve for x
    x = 1,958,107,334.94/50,470.24
  6. Step 6: Final answer
    x = 38,797.27

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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.