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Finding the Fourth Proportional to 33,671.32, 50,506.96 and 12,894.82

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Solution

The fourth proportional to 33,671.32, 50,506.96 and 12,894.82 is: 19,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,671.32 : 50,506.96 = 12,894.82 : x
  2. Step 2: Convert to fraction form
    33,671.32/50,506.96 = 12,894.82/x
  3. Step 3: Cross multiply
    33,671.32x = 50,506.96 × 12,894.82
  4. Step 4: Simplify right side
    33,671.32x = 651,278,157.95
  5. Step 5: Solve for x
    x = 651,278,157.95/33,671.32
  6. Step 6: Final answer
    x = 19,342.22

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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.