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Finding the Fourth Proportional to 50,448.75, 75,486.29 and 31,578.45

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Solution

The fourth proportional to 50,448.75, 75,486.29 and 31,578.45 is: 47,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448.75 : 75,486.29 = 31,578.45 : x
  2. Step 2: Convert to fraction form
    50,448.75/75,486.29 = 31,578.45/x
  3. Step 3: Cross multiply
    50,448.75x = 75,486.29 × 31,578.45
  4. Step 4: Simplify right side
    50,448.75x = 2,383,739,876.56
  5. Step 5: Solve for x
    x = 2,383,739,876.56/50,448.75
  6. Step 6: Final answer
    x = 47,250.72

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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.