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Finding the Fourth Proportional to 122,668.44, 183,963.78 and 39,543

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Solution

The fourth proportional to 122,668.44, 183,963.78 and 39,543 is: 59,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,668.44 : 183,963.78 = 39,543 : x
  2. Step 2: Convert to fraction form
    122,668.44/183,963.78 = 39,543/x
  3. Step 3: Cross multiply
    122,668.44x = 183,963.78 × 39,543
  4. Step 4: Simplify right side
    122,668.44x = 7,274,479,752.54
  5. Step 5: Solve for x
    x = 7,274,479,752.54/122,668.44
  6. Step 6: Final answer
    x = 59,301.97

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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.