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Finding the Fourth Proportional to 35,408.20, 48,863.64 and 19,493

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Solution

The fourth proportional to 35,408.20, 48,863.64 and 19,493 is: 26,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408.20 : 48,863.64 = 19,493 : x
  2. Step 2: Convert to fraction form
    35,408.20/48,863.64 = 19,493/x
  3. Step 3: Cross multiply
    35,408.20x = 48,863.64 × 19,493
  4. Step 4: Simplify right side
    35,408.20x = 952,498,934.52
  5. Step 5: Solve for x
    x = 952,498,934.52/35,408.20
  6. Step 6: Final answer
    x = 26,900.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.