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Finding the Fourth Proportional to 50,447.75, 75,484.79 and 31,577.45

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Solution

The fourth proportional to 50,447.75, 75,484.79 and 31,577.45 is: 47,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,447.75 : 75,484.79 = 31,577.45 : x
  2. Step 2: Convert to fraction form
    50,447.75/75,484.79 = 31,577.45/x
  3. Step 3: Cross multiply
    50,447.75x = 75,484.79 × 31,577.45
  4. Step 4: Simplify right side
    50,447.75x = 2,383,617,181.99
  5. Step 5: Solve for x
    x = 2,383,617,181.99/50,447.75
  6. Step 6: Final answer
    x = 47,249.23

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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.