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Finding the Fourth Proportional to 50,448, 69,620.64 and 28,092

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Solution

The fourth proportional to 50,448, 69,620.64 and 28,092 is: 38,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448 : 69,620.64 = 28,092 : x
  2. Step 2: Convert to fraction form
    50,448/69,620.64 = 28,092/x
  3. Step 3: Cross multiply
    50,448x = 69,620.64 × 28,092
  4. Step 4: Simplify right side
    50,448x = 1,955,783,018.88
  5. Step 5: Solve for x
    x = 1,955,783,018.88/50,448
  6. Step 6: Final answer
    x = 38,768.30

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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.