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Finding the Fourth Proportional to 97,699.44, 146,450.70 and 38,512.20

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Solution

The fourth proportional to 97,699.44, 146,450.70 and 38,512.20 is: 57,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,699.44 : 146,450.70 = 38,512.20 : x
  2. Step 2: Convert to fraction form
    97,699.44/146,450.70 = 38,512.20/x
  3. Step 3: Cross multiply
    97,699.44x = 146,450.70 × 38,512.20
  4. Step 4: Simplify right side
    97,699.44x = 5,640,138,648.54
  5. Step 5: Solve for x
    x = 5,640,138,648.54/97,699.44
  6. Step 6: Final answer
    x = 57,729.49

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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.