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Finding the Fourth Proportional to 97,661.20, 146,491.80 and 31,997.20

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Solution

The fourth proportional to 97,661.20, 146,491.80 and 31,997.20 is: 47,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,661.20 : 146,491.80 = 31,997.20 : x
  2. Step 2: Convert to fraction form
    97,661.20/146,491.80 = 31,997.20/x
  3. Step 3: Cross multiply
    97,661.20x = 146,491.80 × 31,997.20
  4. Step 4: Simplify right side
    97,661.20x = 4,687,327,422.96
  5. Step 5: Solve for x
    x = 4,687,327,422.96/97,661.20
  6. Step 6: Final answer
    x = 47,995.80

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1.5x scale

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.