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Finding the Fourth Proportional to 33,086.86, 49,630.16 and 14,364.45

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Solution

The fourth proportional to 33,086.86, 49,630.16 and 14,364.45 is: 21,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086.86 : 49,630.16 = 14,364.45 : x
  2. Step 2: Convert to fraction form
    33,086.86/49,630.16 = 14,364.45/x
  3. Step 3: Cross multiply
    33,086.86x = 49,630.16 × 14,364.45
  4. Step 4: Simplify right side
    33,086.86x = 712,909,987.72
  5. Step 5: Solve for x
    x = 712,909,987.72/33,086.86
  6. Step 6: Final answer
    x = 21,546.62

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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.