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Finding the Fourth Proportional to 96,797.52, 145,199.16 and 26,682

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Solution

The fourth proportional to 96,797.52, 145,199.16 and 26,682 is: 40,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,797.52 : 145,199.16 = 26,682 : x
  2. Step 2: Convert to fraction form
    96,797.52/145,199.16 = 26,682/x
  3. Step 3: Cross multiply
    96,797.52x = 145,199.16 × 26,682
  4. Step 4: Simplify right side
    96,797.52x = 3,874,203,987.12
  5. Step 5: Solve for x
    x = 3,874,203,987.12/96,797.52
  6. Step 6: Final answer
    x = 40,023.79

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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.