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Finding the Fourth Proportional to 36,885.24, 55,327.76 and 9,183.24

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Solution

The fourth proportional to 36,885.24, 55,327.76 and 9,183.24 is: 13,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,885.24 : 55,327.76 = 9,183.24 : x
  2. Step 2: Convert to fraction form
    36,885.24/55,327.76 = 9,183.24/x
  3. Step 3: Cross multiply
    36,885.24x = 55,327.76 × 9,183.24
  4. Step 4: Simplify right side
    36,885.24x = 508,088,098.74
  5. Step 5: Solve for x
    x = 508,088,098.74/36,885.24
  6. Step 6: Final answer
    x = 13,774.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.