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Finding the Fourth Proportional to 57,836.16, 86,752.08 and 16,282.08

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Solution

The fourth proportional to 57,836.16, 86,752.08 and 16,282.08 is: 24,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,836.16 : 86,752.08 = 16,282.08 : x
  2. Step 2: Convert to fraction form
    57,836.16/86,752.08 = 16,282.08/x
  3. Step 3: Cross multiply
    57,836.16x = 86,752.08 × 16,282.08
  4. Step 4: Simplify right side
    57,836.16x = 1,412,504,306.73
  5. Step 5: Solve for x
    x = 1,412,504,306.73/57,836.16
  6. Step 6: Final answer
    x = 24,422.51

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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.