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Finding the Fourth Proportional to 91,183.60, 136,761.72 and 28,846

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Solution

The fourth proportional to 91,183.60, 136,761.72 and 28,846 is: 43,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,183.60 : 136,761.72 = 28,846 : x
  2. Step 2: Convert to fraction form
    91,183.60/136,761.72 = 28,846/x
  3. Step 3: Cross multiply
    91,183.60x = 136,761.72 × 28,846
  4. Step 4: Simplify right side
    91,183.60x = 3,945,028,575.12
  5. Step 5: Solve for x
    x = 3,945,028,575.12/91,183.60
  6. Step 6: Final answer
    x = 43,264.67

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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.