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Finding the Fourth Proportional to 33,262.78, 49,885.65 and 9,883.75

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Solution

The fourth proportional to 33,262.78, 49,885.65 and 9,883.75 is: 14,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,262.78 : 49,885.65 = 9,883.75 : x
  2. Step 2: Convert to fraction form
    33,262.78/49,885.65 = 9,883.75/x
  3. Step 3: Cross multiply
    33,262.78x = 49,885.65 × 9,883.75
  4. Step 4: Simplify right side
    33,262.78x = 493,057,293.19
  5. Step 5: Solve for x
    x = 493,057,293.19/33,262.78
  6. Step 6: Final answer
    x = 14,823.09

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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.