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Finding the Fourth Proportional to 38,791.85, 53,532.80 and 22,024.85

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Solution

The fourth proportional to 38,791.85, 53,532.80 and 22,024.85 is: 30,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791.85 : 53,532.80 = 22,024.85 : x
  2. Step 2: Convert to fraction form
    38,791.85/53,532.80 = 22,024.85/x
  3. Step 3: Cross multiply
    38,791.85x = 53,532.80 × 22,024.85
  4. Step 4: Simplify right side
    38,791.85x = 1,179,051,890.08
  5. Step 5: Solve for x
    x = 1,179,051,890.08/38,791.85
  6. Step 6: Final answer
    x = 30,394.32

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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.