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Finding the Fourth Proportional to 37,580.96, 56,375.24 and 13,894.84

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Solution

The fourth proportional to 37,580.96, 56,375.24 and 13,894.84 is: 20,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.96 : 56,375.24 = 13,894.84 : x
  2. Step 2: Convert to fraction form
    37,580.96/56,375.24 = 13,894.84/x
  3. Step 3: Cross multiply
    37,580.96x = 56,375.24 × 13,894.84
  4. Step 4: Simplify right side
    37,580.96x = 783,325,018.91
  5. Step 5: Solve for x
    x = 783,325,018.91/37,580.96
  6. Step 6: Final answer
    x = 20,843.67

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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.