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Finding the Fourth Proportional to 70,169.92, 105,220.77 and 23,407

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Solution

The fourth proportional to 70,169.92, 105,220.77 and 23,407 is: 35,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,169.92 : 105,220.77 = 23,407 : x
  2. Step 2: Convert to fraction form
    70,169.92/105,220.77 = 23,407/x
  3. Step 3: Cross multiply
    70,169.92x = 105,220.77 × 23,407
  4. Step 4: Simplify right side
    70,169.92x = 2,462,902,563.39
  5. Step 5: Solve for x
    x = 2,462,902,563.39/70,169.92
  6. Step 6: Final answer
    x = 35,099.12

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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.