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Finding the Fourth Proportional to 33,098.82, 49,656.48 and 9,725.25

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Solution

The fourth proportional to 33,098.82, 49,656.48 and 9,725.25 is: 14,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.82 : 49,656.48 = 9,725.25 : x
  2. Step 2: Convert to fraction form
    33,098.82/49,656.48 = 9,725.25/x
  3. Step 3: Cross multiply
    33,098.82x = 49,656.48 × 9,725.25
  4. Step 4: Simplify right side
    33,098.82x = 482,921,682.12
  5. Step 5: Solve for x
    x = 482,921,682.12/33,098.82
  6. Step 6: Final answer
    x = 14,590.30

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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.