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Finding the Fourth Proportional to 97,163.34, 145,715.59 and 33,971.69

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Solution

The fourth proportional to 97,163.34, 145,715.59 and 33,971.69 is: 50,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,163.34 : 145,715.59 = 33,971.69 : x
  2. Step 2: Convert to fraction form
    97,163.34/145,715.59 = 33,971.69/x
  3. Step 3: Cross multiply
    97,163.34x = 145,715.59 × 33,971.69
  4. Step 4: Simplify right side
    97,163.34x = 4,950,204,247.66
  5. Step 5: Solve for x
    x = 4,950,204,247.66/97,163.34
  6. Step 6: Final answer
    x = 50,947.24

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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.