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Finding the Fourth Proportional to 33,256.62, 49,893.21 and 9,883.05

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Solution

The fourth proportional to 33,256.62, 49,893.21 and 9,883.05 is: 14,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,256.62 : 49,893.21 = 9,883.05 : x
  2. Step 2: Convert to fraction form
    33,256.62/49,893.21 = 9,883.05/x
  3. Step 3: Cross multiply
    33,256.62x = 49,893.21 × 9,883.05
  4. Step 4: Simplify right side
    33,256.62x = 493,097,089.09
  5. Step 5: Solve for x
    x = 493,097,089.09/33,256.62
  6. Step 6: Final answer
    x = 14,827.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.