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Finding the Fourth Proportional to 70,241.92, 105,351.12 and 23,494.64

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Solution

The fourth proportional to 70,241.92, 105,351.12 and 23,494.64 is: 35,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,241.92 : 105,351.12 = 23,494.64 : x
  2. Step 2: Convert to fraction form
    70,241.92/105,351.12 = 23,494.64/x
  3. Step 3: Cross multiply
    70,241.92x = 105,351.12 × 23,494.64
  4. Step 4: Simplify right side
    70,241.92x = 2,475,186,638.00
  5. Step 5: Solve for x
    x = 2,475,186,638.00/70,241.92
  6. Step 6: Final answer
    x = 35,238.03

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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.