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Finding the Fourth Proportional to 50,517, 75,786.44 and 19,352.25

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Solution

The fourth proportional to 50,517, 75,786.44 and 19,352.25 is: 29,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,517 : 75,786.44 = 19,352.25 : x
  2. Step 2: Convert to fraction form
    50,517/75,786.44 = 19,352.25/x
  3. Step 3: Cross multiply
    50,517x = 75,786.44 × 19,352.25
  4. Step 4: Simplify right side
    50,517x = 1,466,638,036.73
  5. Step 5: Solve for x
    x = 1,466,638,036.73/50,517
  6. Step 6: Final answer
    x = 29,032.56

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1.5x scale

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.