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Finding the Fourth Proportional to 99,409.63, 149,142.24 and 32,896.58

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Solution

The fourth proportional to 99,409.63, 149,142.24 and 32,896.58 is: 49,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,409.63 : 149,142.24 = 32,896.58 : x
  2. Step 2: Convert to fraction form
    99,409.63/149,142.24 = 32,896.58/x
  3. Step 3: Cross multiply
    99,409.63x = 149,142.24 × 32,896.58
  4. Step 4: Simplify right side
    99,409.63x = 4,906,269,630.23
  5. Step 5: Solve for x
    x = 4,906,269,630.23/99,409.63
  6. Step 6: Final answer
    x = 49,354.07

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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.