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Finding the Fourth Proportional to 33,685.84, 50,520.14 and 9,987.84

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Solution

The fourth proportional to 33,685.84, 50,520.14 and 9,987.84 is: 14,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,685.84 : 50,520.14 = 9,987.84 : x
  2. Step 2: Convert to fraction form
    33,685.84/50,520.14 = 9,987.84/x
  3. Step 3: Cross multiply
    33,685.84x = 50,520.14 × 9,987.84
  4. Step 4: Simplify right side
    33,685.84x = 504,587,062.61
  5. Step 5: Solve for x
    x = 504,587,062.61/33,685.84
  6. Step 6: Final answer
    x = 14,979.20

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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.