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Finding the Fourth Proportional to 35,819.92, 53,732.58 and 9,524.08

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Solution

The fourth proportional to 35,819.92, 53,732.58 and 9,524.08 is: 14,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,819.92 : 53,732.58 = 9,524.08 : x
  2. Step 2: Convert to fraction form
    35,819.92/53,732.58 = 9,524.08/x
  3. Step 3: Cross multiply
    35,819.92x = 53,732.58 × 9,524.08
  4. Step 4: Simplify right side
    35,819.92x = 511,753,390.53
  5. Step 5: Solve for x
    x = 511,753,390.53/35,819.92
  6. Step 6: Final answer
    x = 14,286.84

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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.