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Finding the Fourth Proportional to 33,189.88, 49,784.82 and 9,814.50

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Solution

The fourth proportional to 33,189.88, 49,784.82 and 9,814.50 is: 14,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.88 : 49,784.82 = 9,814.50 : x
  2. Step 2: Convert to fraction form
    33,189.88/49,784.82 = 9,814.50/x
  3. Step 3: Cross multiply
    33,189.88x = 49,784.82 × 9,814.50
  4. Step 4: Simplify right side
    33,189.88x = 488,613,115.89
  5. Step 5: Solve for x
    x = 488,613,115.89/33,189.88
  6. Step 6: Final answer
    x = 14,721.75

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Similar ratio
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1.5x scale

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.