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Finding the Fourth Proportional to 50,972.52, 76,435.02 and 19,388.46

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Solution

The fourth proportional to 50,972.52, 76,435.02 and 19,388.46 is: 29,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972.52 : 76,435.02 = 19,388.46 : x
  2. Step 2: Convert to fraction form
    50,972.52/76,435.02 = 19,388.46/x
  3. Step 3: Cross multiply
    50,972.52x = 76,435.02 × 19,388.46
  4. Step 4: Simplify right side
    50,972.52x = 1,481,957,327.87
  5. Step 5: Solve for x
    x = 1,481,957,327.87/50,972.52
  6. Step 6: Final answer
    x = 29,073.65

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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.