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Finding the Fourth Proportional to 97,203.91, 145,805.86 and 23,331.91

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Solution

The fourth proportional to 97,203.91, 145,805.86 and 23,331.91 is: 34,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,203.91 : 145,805.86 = 23,331.91 : x
  2. Step 2: Convert to fraction form
    97,203.91/145,805.86 = 23,331.91/x
  3. Step 3: Cross multiply
    97,203.91x = 145,805.86 × 23,331.91
  4. Step 4: Simplify right side
    97,203.91x = 3,401,928,896.81
  5. Step 5: Solve for x
    x = 3,401,928,896.81/97,203.91
  6. Step 6: Final answer
    x = 34,997.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.