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Finding the Fourth Proportional to 33,083.85, 49,597.88 and 14,349.77

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Solution

The fourth proportional to 33,083.85, 49,597.88 and 14,349.77 is: 21,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.85 : 49,597.88 = 14,349.77 : x
  2. Step 2: Convert to fraction form
    33,083.85/49,597.88 = 14,349.77/x
  3. Step 3: Cross multiply
    33,083.85x = 49,597.88 × 14,349.77
  4. Step 4: Simplify right side
    33,083.85x = 711,718,222.73
  5. Step 5: Solve for x
    x = 711,718,222.73/33,083.85
  6. Step 6: Final answer
    x = 21,512.56

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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.