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Finding the Fourth Proportional to 68,335.92, 102,498.84 and 32,822.64

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Solution

The fourth proportional to 68,335.92, 102,498.84 and 32,822.64 is: 49,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,335.92 : 102,498.84 = 32,822.64 : x
  2. Step 2: Convert to fraction form
    68,335.92/102,498.84 = 32,822.64/x
  3. Step 3: Cross multiply
    68,335.92x = 102,498.84 × 32,822.64
  4. Step 4: Simplify right side
    68,335.92x = 3,364,282,525.74
  5. Step 5: Solve for x
    x = 3,364,282,525.74/68,335.92
  6. Step 6: Final answer
    x = 49,231.54

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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.