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Finding the Fourth Proportional to 50,616.78, 75,902.49 and 19,441.50

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Solution

The fourth proportional to 50,616.78, 75,902.49 and 19,441.50 is: 29,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,616.78 : 75,902.49 = 19,441.50 : x
  2. Step 2: Convert to fraction form
    50,616.78/75,902.49 = 19,441.50/x
  3. Step 3: Cross multiply
    50,616.78x = 75,902.49 × 19,441.50
  4. Step 4: Simplify right side
    50,616.78x = 1,475,658,259.34
  5. Step 5: Solve for x
    x = 1,475,658,259.34/50,616.78
  6. Step 6: Final answer
    x = 29,153.54

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