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Finding the Fourth Proportional to 33,671.91, 50,507.88 and 10,298.16

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Solution

The fourth proportional to 33,671.91, 50,507.88 and 10,298.16 is: 15,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,671.91 : 50,507.88 = 10,298.16 : x
  2. Step 2: Convert to fraction form
    33,671.91/50,507.88 = 10,298.16/x
  3. Step 3: Cross multiply
    33,671.91x = 50,507.88 × 10,298.16
  4. Step 4: Simplify right side
    33,671.91x = 520,138,229.50
  5. Step 5: Solve for x
    x = 520,138,229.50/33,671.91
  6. Step 6: Final answer
    x = 15,447.24

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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.