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Finding the Fourth Proportional to 99,648.96, 149,447.90 and 29,511.88

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Solution

The fourth proportional to 99,648.96, 149,447.90 and 29,511.88 is: 44,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648.96 : 149,447.90 = 29,511.88 : x
  2. Step 2: Convert to fraction form
    99,648.96/149,447.90 = 29,511.88/x
  3. Step 3: Cross multiply
    99,648.96x = 149,447.90 × 29,511.88
  4. Step 4: Simplify right side
    99,648.96x = 4,410,488,491.05
  5. Step 5: Solve for x
    x = 4,410,488,491.05/99,648.96
  6. Step 6: Final answer
    x = 44,260.26

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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.