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Finding the Fourth Proportional to 33,916.32, 50,884.80 and 16,382.88

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Solution

The fourth proportional to 33,916.32, 50,884.80 and 16,382.88 is: 24,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,916.32 : 50,884.80 = 16,382.88 : x
  2. Step 2: Convert to fraction form
    33,916.32/50,884.80 = 16,382.88/x
  3. Step 3: Cross multiply
    33,916.32x = 50,884.80 × 16,382.88
  4. Step 4: Simplify right side
    33,916.32x = 833,639,572.22
  5. Step 5: Solve for x
    x = 833,639,572.22/33,916.32
  6. Step 6: Final answer
    x = 24,579.30

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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.