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Finding the Fourth Proportional to 78,229.44, 117,348.48 and 22,824

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Solution

The fourth proportional to 78,229.44, 117,348.48 and 22,824 is: 34,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,229.44 : 117,348.48 = 22,824 : x
  2. Step 2: Convert to fraction form
    78,229.44/117,348.48 = 22,824/x
  3. Step 3: Cross multiply
    78,229.44x = 117,348.48 × 22,824
  4. Step 4: Simplify right side
    78,229.44x = 2,678,361,707.52
  5. Step 5: Solve for x
    x = 2,678,361,707.52/78,229.44
  6. Step 6: Final answer
    x = 34,237.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.