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Finding the Fourth Proportional to 97,033.87, 145,504.70 and 33,846.31

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Solution

The fourth proportional to 97,033.87, 145,504.70 and 33,846.31 is: 50,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,033.87 : 145,504.70 = 33,846.31 : x
  2. Step 2: Convert to fraction form
    97,033.87/145,504.70 = 33,846.31/x
  3. Step 3: Cross multiply
    97,033.87x = 145,504.70 × 33,846.31
  4. Step 4: Simplify right side
    97,033.87x = 4,924,797,182.66
  5. Step 5: Solve for x
    x = 4,924,797,182.66/97,033.87
  6. Step 6: Final answer
    x = 50,753.38

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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.