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Finding the Fourth Proportional to 33,262.54, 49,896.51 and 9,889

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Solution

The fourth proportional to 33,262.54, 49,896.51 and 9,889 is: 14,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,262.54 : 49,896.51 = 9,889 : x
  2. Step 2: Convert to fraction form
    33,262.54/49,896.51 = 9,889/x
  3. Step 3: Cross multiply
    33,262.54x = 49,896.51 × 9,889
  4. Step 4: Simplify right side
    33,262.54x = 493,426,587.39
  5. Step 5: Solve for x
    x = 493,426,587.39/33,262.54
  6. Step 6: Final answer
    x = 14,834.30

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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.