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Finding the Fourth Proportional to 35,236.81, 52,855.17 and 8,582.78

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Solution

The fourth proportional to 35,236.81, 52,855.17 and 8,582.78 is: 12,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,236.81 : 52,855.17 = 8,582.78 : x
  2. Step 2: Convert to fraction form
    35,236.81/52,855.17 = 8,582.78/x
  3. Step 3: Cross multiply
    35,236.81x = 52,855.17 × 8,582.78
  4. Step 4: Simplify right side
    35,236.81x = 453,644,295.97
  5. Step 5: Solve for x
    x = 453,644,295.97/35,236.81
  6. Step 6: Final answer
    x = 12,874.16

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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.