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Finding the Fourth Proportional to 65,193, 97,789.62 and 23,640.12

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Solution

The fourth proportional to 65,193, 97,789.62 and 23,640.12 is: 35,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193 : 97,789.62 = 23,640.12 : x
  2. Step 2: Convert to fraction form
    65,193/97,789.62 = 23,640.12/x
  3. Step 3: Cross multiply
    65,193x = 97,789.62 × 23,640.12
  4. Step 4: Simplify right side
    65,193x = 2,311,758,351.55
  5. Step 5: Solve for x
    x = 2,311,758,351.55/65,193
  6. Step 6: Final answer
    x = 35,460.22

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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.