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Finding the Fourth Proportional to 38,791.80, 53,532.71 and 22,024.80

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Solution

The fourth proportional to 38,791.80, 53,532.71 and 22,024.80 is: 30,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791.80 : 53,532.71 = 22,024.80 : x
  2. Step 2: Convert to fraction form
    38,791.80/53,532.71 = 22,024.80/x
  3. Step 3: Cross multiply
    38,791.80x = 53,532.71 × 22,024.80
  4. Step 4: Simplify right side
    38,791.80x = 1,179,046,963.54
  5. Step 5: Solve for x
    x = 1,179,046,963.54/38,791.80
  6. Step 6: Final answer
    x = 30,394.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.