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Finding the Fourth Proportional to 37,882.89, 56,824.13 and 11,230.90

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Solution

The fourth proportional to 37,882.89, 56,824.13 and 11,230.90 is: 16,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,882.89 : 56,824.13 = 11,230.90 : x
  2. Step 2: Convert to fraction form
    37,882.89/56,824.13 = 11,230.90/x
  3. Step 3: Cross multiply
    37,882.89x = 56,824.13 × 11,230.90
  4. Step 4: Simplify right side
    37,882.89x = 638,186,327.27
  5. Step 5: Solve for x
    x = 638,186,327.27/37,882.89
  6. Step 6: Final answer
    x = 16,846.29

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1.5x scale

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.