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Finding the Fourth Proportional to 99,648.44, 149,447.16 and 29,511.36

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Solution

The fourth proportional to 99,648.44, 149,447.16 and 29,511.36 is: 44,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648.44 : 149,447.16 = 29,511.36 : x
  2. Step 2: Convert to fraction form
    99,648.44/149,447.16 = 29,511.36/x
  3. Step 3: Cross multiply
    99,648.44x = 149,447.16 × 29,511.36
  4. Step 4: Simplify right side
    99,648.44x = 4,410,388,939.74
  5. Step 5: Solve for x
    x = 4,410,388,939.74/99,648.44
  6. Step 6: Final answer
    x = 44,259.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.