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Finding the Fourth Proportional to 33,661.92, 50,494.16 and 12,599.74

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Solution

The fourth proportional to 33,661.92, 50,494.16 and 12,599.74 is: 18,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661.92 : 50,494.16 = 12,599.74 : x
  2. Step 2: Convert to fraction form
    33,661.92/50,494.16 = 12,599.74/x
  3. Step 3: Cross multiply
    33,661.92x = 50,494.16 × 12,599.74
  4. Step 4: Simplify right side
    33,661.92x = 636,213,541.87
  5. Step 5: Solve for x
    x = 636,213,541.87/33,661.92
  6. Step 6: Final answer
    x = 18,900.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.