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Finding the Fourth Proportional to 68,323.91, 102,498.14 and 32,755.08

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Solution

The fourth proportional to 68,323.91, 102,498.14 and 32,755.08 is: 49,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,323.91 : 102,498.14 = 32,755.08 : x
  2. Step 2: Convert to fraction form
    68,323.91/102,498.14 = 32,755.08/x
  3. Step 3: Cross multiply
    68,323.91x = 102,498.14 × 32,755.08
  4. Step 4: Simplify right side
    68,323.91x = 3,357,334,611.78
  5. Step 5: Solve for x
    x = 3,357,334,611.78/68,323.91
  6. Step 6: Final answer
    x = 49,138.51

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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.