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Finding the Fourth Proportional to 27,990.56, 41,985.84 and 8,282.96

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Solution

The fourth proportional to 27,990.56, 41,985.84 and 8,282.96 is: 12,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,990.56 : 41,985.84 = 8,282.96 : x
  2. Step 2: Convert to fraction form
    27,990.56/41,985.84 = 8,282.96/x
  3. Step 3: Cross multiply
    27,990.56x = 41,985.84 × 8,282.96
  4. Step 4: Simplify right side
    27,990.56x = 347,767,011.87
  5. Step 5: Solve for x
    x = 347,767,011.87/27,990.56
  6. Step 6: Final answer
    x = 12,424.44

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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.