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Finding the Fourth Proportional to 50,917.20, 76,408.20 and 29,857.20

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Solution

The fourth proportional to 50,917.20, 76,408.20 and 29,857.20 is: 44,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,917.20 : 76,408.20 = 29,857.20 : x
  2. Step 2: Convert to fraction form
    50,917.20/76,408.20 = 29,857.20/x
  3. Step 3: Cross multiply
    50,917.20x = 76,408.20 × 29,857.20
  4. Step 4: Simplify right side
    50,917.20x = 2,281,334,909.04
  5. Step 5: Solve for x
    x = 2,281,334,909.04/50,917.20
  6. Step 6: Final answer
    x = 44,804.80

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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.