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Finding the Fourth Proportional to 97,997.40, 146,996.10 and 27,867.60

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Solution

The fourth proportional to 97,997.40, 146,996.10 and 27,867.60 is: 41,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,997.40 : 146,996.10 = 27,867.60 : x
  2. Step 2: Convert to fraction form
    97,997.40/146,996.10 = 27,867.60/x
  3. Step 3: Cross multiply
    97,997.40x = 146,996.10 × 27,867.60
  4. Step 4: Simplify right side
    97,997.40x = 4,096,428,516.36
  5. Step 5: Solve for x
    x = 4,096,428,516.36/97,997.40
  6. Step 6: Final answer
    x = 41,801.40

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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.