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Finding the Fourth Proportional to 68,002.16, 101,961.48 and 23,609.84

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Solution

The fourth proportional to 68,002.16, 101,961.48 and 23,609.84 is: 35,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,002.16 : 101,961.48 = 23,609.84 : x
  2. Step 2: Convert to fraction form
    68,002.16/101,961.48 = 23,609.84/x
  3. Step 3: Cross multiply
    68,002.16x = 101,961.48 × 23,609.84
  4. Step 4: Simplify right side
    68,002.16x = 2,407,294,228.96
  5. Step 5: Solve for x
    x = 2,407,294,228.96/68,002.16
  6. Step 6: Final answer
    x = 35,400.26

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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.