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Finding the Fourth Proportional to 50,941, 76,442.24 and 21,757

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Solution

The fourth proportional to 50,941, 76,442.24 and 21,757 is: 32,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,941 : 76,442.24 = 21,757 : x
  2. Step 2: Convert to fraction form
    50,941/76,442.24 = 21,757/x
  3. Step 3: Cross multiply
    50,941x = 76,442.24 × 21,757
  4. Step 4: Simplify right side
    50,941x = 1,663,153,815.68
  5. Step 5: Solve for x
    x = 1,663,153,815.68/50,941
  6. Step 6: Final answer
    x = 32,648.63

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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.