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Finding the Fourth Proportional to 33,281.61, 49,908.54 and 13,546.77

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Solution

The fourth proportional to 33,281.61, 49,908.54 and 13,546.77 is: 20,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,281.61 : 49,908.54 = 13,546.77 : x
  2. Step 2: Convert to fraction form
    33,281.61/49,908.54 = 13,546.77/x
  3. Step 3: Cross multiply
    33,281.61x = 49,908.54 × 13,546.77
  4. Step 4: Simplify right side
    33,281.61x = 676,099,512.42
  5. Step 5: Solve for x
    x = 676,099,512.42/33,281.61
  6. Step 6: Final answer
    x = 20,314.51

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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.