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Finding the Fourth Proportional to 50,392, 75,591.12 and 15,334.24

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Solution

The fourth proportional to 50,392, 75,591.12 and 15,334.24 is: 23,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,392 : 75,591.12 = 15,334.24 : x
  2. Step 2: Convert to fraction form
    50,392/75,591.12 = 15,334.24/x
  3. Step 3: Cross multiply
    50,392x = 75,591.12 × 15,334.24
  4. Step 4: Simplify right side
    50,392x = 1,159,132,375.95
  5. Step 5: Solve for x
    x = 1,159,132,375.95/50,392
  6. Step 6: Final answer
    x = 23,002.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.