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Finding the Fourth Proportional to 52,689.25, 79,033.92 and 21,524.50

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Solution

The fourth proportional to 52,689.25, 79,033.92 and 21,524.50 is: 32,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,689.25 : 79,033.92 = 21,524.50 : x
  2. Step 2: Convert to fraction form
    52,689.25/79,033.92 = 21,524.50/x
  3. Step 3: Cross multiply
    52,689.25x = 79,033.92 × 21,524.50
  4. Step 4: Simplify right side
    52,689.25x = 1,701,165,611.04
  5. Step 5: Solve for x
    x = 1,701,165,611.04/52,689.25
  6. Step 6: Final answer
    x = 32,286.77

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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.