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Finding the Fourth Proportional to 97,203.47, 145,805.21 and 23,331.47

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Solution

The fourth proportional to 97,203.47, 145,805.21 and 23,331.47 is: 34,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,203.47 : 145,805.21 = 23,331.47 : x
  2. Step 2: Convert to fraction form
    97,203.47/145,805.21 = 23,331.47/x
  3. Step 3: Cross multiply
    97,203.47x = 145,805.21 × 23,331.47
  4. Step 4: Simplify right side
    97,203.47x = 3,401,849,584.04
  5. Step 5: Solve for x
    x = 3,401,849,584.04/97,203.47
  6. Step 6: Final answer
    x = 34,997.20

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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.