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Finding the Fourth Proportional to 33,318.24, 49,977.24 and 9,944.64

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Solution

The fourth proportional to 33,318.24, 49,977.24 and 9,944.64 is: 14,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,318.24 : 49,977.24 = 9,944.64 : x
  2. Step 2: Convert to fraction form
    33,318.24/49,977.24 = 9,944.64/x
  3. Step 3: Cross multiply
    33,318.24x = 49,977.24 × 9,944.64
  4. Step 4: Simplify right side
    33,318.24x = 497,005,659.99
  5. Step 5: Solve for x
    x = 497,005,659.99/33,318.24
  6. Step 6: Final answer
    x = 14,916.92

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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.