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Finding the Fourth Proportional to 97,164.78, 145,649.73 and 33,935.82

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Solution

The fourth proportional to 97,164.78, 145,649.73 and 33,935.82 is: 50,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,164.78 : 145,649.73 = 33,935.82 : x
  2. Step 2: Convert to fraction form
    97,164.78/145,649.73 = 33,935.82/x
  3. Step 3: Cross multiply
    97,164.78x = 145,649.73 × 33,935.82
  4. Step 4: Simplify right side
    97,164.78x = 4,942,743,020.33
  5. Step 5: Solve for x
    x = 4,942,743,020.33/97,164.78
  6. Step 6: Final answer
    x = 50,869.70

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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.