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Finding the Fourth Proportional to 33,157.88, 49,738.19 and 9,784.32

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Solution

The fourth proportional to 33,157.88, 49,738.19 and 9,784.32 is: 14,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.88 : 49,738.19 = 9,784.32 : x
  2. Step 2: Convert to fraction form
    33,157.88/49,738.19 = 9,784.32/x
  3. Step 3: Cross multiply
    33,157.88x = 49,738.19 × 9,784.32
  4. Step 4: Simplify right side
    33,157.88x = 486,654,069.57
  5. Step 5: Solve for x
    x = 486,654,069.57/33,157.88
  6. Step 6: Final answer
    x = 14,676.88

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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.