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Finding the Fourth Proportional to 33,298.56, 49,965.12 and 24,140.16

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Solution

The fourth proportional to 33,298.56, 49,965.12 and 24,140.16 is: 36,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298.56 : 49,965.12 = 24,140.16 : x
  2. Step 2: Convert to fraction form
    33,298.56/49,965.12 = 24,140.16/x
  3. Step 3: Cross multiply
    33,298.56x = 49,965.12 × 24,140.16
  4. Step 4: Simplify right side
    33,298.56x = 1,206,165,991.22
  5. Step 5: Solve for x
    x = 1,206,165,991.22/33,298.56
  6. Step 6: Final answer
    x = 36,222.77

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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.