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Finding the Fourth Proportional to 52,585, 78,874.62 and 21,446.44

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Solution

The fourth proportional to 52,585, 78,874.62 and 21,446.44 is: 32,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,585 : 78,874.62 = 21,446.44 : x
  2. Step 2: Convert to fraction form
    52,585/78,874.62 = 21,446.44/x
  3. Step 3: Cross multiply
    52,585x = 78,874.62 × 21,446.44
  4. Step 4: Simplify right side
    52,585x = 1,691,579,805.35
  5. Step 5: Solve for x
    x = 1,691,579,805.35/52,585
  6. Step 6: Final answer
    x = 32,168.49

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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.