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Finding the Fourth Proportional to 100,546.71, 150,840.78 and 29,471.67

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Solution

The fourth proportional to 100,546.71, 150,840.78 and 29,471.67 is: 44,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,546.71 : 150,840.78 = 29,471.67 : x
  2. Step 2: Convert to fraction form
    100,546.71/150,840.78 = 29,471.67/x
  3. Step 3: Cross multiply
    100,546.71x = 150,840.78 × 29,471.67
  4. Step 4: Simplify right side
    100,546.71x = 4,445,529,690.70
  5. Step 5: Solve for x
    x = 4,445,529,690.70/100,546.71
  6. Step 6: Final answer
    x = 44,213.58

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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.