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Finding the Fourth Proportional to 108,098.88, 162,151.97 and 29,213.79

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Solution

The fourth proportional to 108,098.88, 162,151.97 and 29,213.79 is: 43,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,098.88 : 162,151.97 = 29,213.79 : x
  2. Step 2: Convert to fraction form
    108,098.88/162,151.97 = 29,213.79/x
  3. Step 3: Cross multiply
    108,098.88x = 162,151.97 × 29,213.79
  4. Step 4: Simplify right side
    108,098.88x = 4,737,073,453.60
  5. Step 5: Solve for x
    x = 4,737,073,453.60/108,098.88
  6. Step 6: Final answer
    x = 43,821.67

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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.