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Finding the Fourth Proportional to 33,239.64, 49,867.59 and 9,866.07

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Solution

The fourth proportional to 33,239.64, 49,867.59 and 9,866.07 is: 14,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,239.64 : 49,867.59 = 9,866.07 : x
  2. Step 2: Convert to fraction form
    33,239.64/49,867.59 = 9,866.07/x
  3. Step 3: Cross multiply
    33,239.64x = 49,867.59 × 9,866.07
  4. Step 4: Simplify right side
    33,239.64x = 491,997,133.67
  5. Step 5: Solve for x
    x = 491,997,133.67/33,239.64
  6. Step 6: Final answer
    x = 14,801.52

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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.