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Finding the Fourth Proportional to 99,965.72, 149,956.31 and 33,406.08

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Solution

The fourth proportional to 99,965.72, 149,956.31 and 33,406.08 is: 50,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,965.72 : 149,956.31 = 33,406.08 : x
  2. Step 2: Convert to fraction form
    99,965.72/149,956.31 = 33,406.08/x
  3. Step 3: Cross multiply
    99,965.72x = 149,956.31 × 33,406.08
  4. Step 4: Simplify right side
    99,965.72x = 5,009,452,321.33
  5. Step 5: Solve for x
    x = 5,009,452,321.33/99,965.72
  6. Step 6: Final answer
    x = 50,111.70

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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.