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Finding the Fourth Proportional to 59,924.46, 82,728.90 and 36,057

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Solution

The fourth proportional to 59,924.46, 82,728.90 and 36,057 is: 49,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,924.46 : 82,728.90 = 36,057 : x
  2. Step 2: Convert to fraction form
    59,924.46/82,728.90 = 36,057/x
  3. Step 3: Cross multiply
    59,924.46x = 82,728.90 × 36,057
  4. Step 4: Simplify right side
    59,924.46x = 2,982,955,947.30
  5. Step 5: Solve for x
    x = 2,982,955,947.30/59,924.46
  6. Step 6: Final answer
    x = 49,778.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.