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Finding the Fourth Proportional to 19,375, 29,062.77 and 5,524

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Solution

The fourth proportional to 19,375, 29,062.77 and 5,524 is: 8,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,375 : 29,062.77 = 5,524 : x
  2. Step 2: Convert to fraction form
    19,375/29,062.77 = 5,524/x
  3. Step 3: Cross multiply
    19,375x = 29,062.77 × 5,524
  4. Step 4: Simplify right side
    19,375x = 160,542,741.48
  5. Step 5: Solve for x
    x = 160,542,741.48/19,375
  6. Step 6: Final answer
    x = 8,286.08

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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.