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Finding the Fourth Proportional to 57,585, 86,377.50 and 16,033.08

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Solution

The fourth proportional to 57,585, 86,377.50 and 16,033.08 is: 24,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,585 : 86,377.50 = 16,033.08 : x
  2. Step 2: Convert to fraction form
    57,585/86,377.50 = 16,033.08/x
  3. Step 3: Cross multiply
    57,585x = 86,377.50 × 16,033.08
  4. Step 4: Simplify right side
    57,585x = 1,384,897,367.70
  5. Step 5: Solve for x
    x = 1,384,897,367.70/57,585
  6. Step 6: Final answer
    x = 24,049.62

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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.