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Finding the Fourth Proportional to 96,232.60, 144,359.70 and 29,672.20

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Solution

The fourth proportional to 96,232.60, 144,359.70 and 29,672.20 is: 44,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,232.60 : 144,359.70 = 29,672.20 : x
  2. Step 2: Convert to fraction form
    96,232.60/144,359.70 = 29,672.20/x
  3. Step 3: Cross multiply
    96,232.60x = 144,359.70 × 29,672.20
  4. Step 4: Simplify right side
    96,232.60x = 4,283,469,890.34
  5. Step 5: Solve for x
    x = 4,283,469,890.34/96,232.60
  6. Step 6: Final answer
    x = 44,511.63

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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.