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Finding the Fourth Proportional to 27,764.44, 41,646.63 and 9,044.45

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Solution

The fourth proportional to 27,764.44, 41,646.63 and 9,044.45 is: 13,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.44 : 41,646.63 = 9,044.45 : x
  2. Step 2: Convert to fraction form
    27,764.44/41,646.63 = 9,044.45/x
  3. Step 3: Cross multiply
    27,764.44x = 41,646.63 × 9,044.45
  4. Step 4: Simplify right side
    27,764.44x = 376,670,747.28
  5. Step 5: Solve for x
    x = 376,670,747.28/27,764.44
  6. Step 6: Final answer
    x = 13,566.66

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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.