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Finding the Fourth Proportional to 97,703.44, 146,456.70 and 38,516.20

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Solution

The fourth proportional to 97,703.44, 146,456.70 and 38,516.20 is: 57,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,703.44 : 146,456.70 = 38,516.20 : x
  2. Step 2: Convert to fraction form
    97,703.44/146,456.70 = 38,516.20/x
  3. Step 3: Cross multiply
    97,703.44x = 146,456.70 × 38,516.20
  4. Step 4: Simplify right side
    97,703.44x = 5,640,955,548.54
  5. Step 5: Solve for x
    x = 5,640,955,548.54/97,703.44
  6. Step 6: Final answer
    x = 57,735.49

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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.