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Finding the Fourth Proportional to 70,168.92, 105,219.27 and 23,406

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Solution

The fourth proportional to 70,168.92, 105,219.27 and 23,406 is: 35,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,168.92 : 105,219.27 = 23,406 : x
  2. Step 2: Convert to fraction form
    70,168.92/105,219.27 = 23,406/x
  3. Step 3: Cross multiply
    70,168.92x = 105,219.27 × 23,406
  4. Step 4: Simplify right side
    70,168.92x = 2,462,762,233.62
  5. Step 5: Solve for x
    x = 2,462,762,233.62/70,168.92
  6. Step 6: Final answer
    x = 35,097.62

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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.