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Finding the Fourth Proportional to 97,203.53, 145,805.30 and 23,331.53

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Solution

The fourth proportional to 97,203.53, 145,805.30 and 23,331.53 is: 34,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,203.53 : 145,805.30 = 23,331.53 : x
  2. Step 2: Convert to fraction form
    97,203.53/145,805.30 = 23,331.53/x
  3. Step 3: Cross multiply
    97,203.53x = 145,805.30 × 23,331.53
  4. Step 4: Simplify right side
    97,203.53x = 3,401,861,095.62
  5. Step 5: Solve for x
    x = 3,401,861,095.62/97,203.53
  6. Step 6: Final answer
    x = 34,997.30

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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.