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Finding the Fourth Proportional to 70,321.56, 105,456.96 and 23,563.68

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Solution

The fourth proportional to 70,321.56, 105,456.96 and 23,563.68 is: 35,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,321.56 : 105,456.96 = 23,563.68 : x
  2. Step 2: Convert to fraction form
    70,321.56/105,456.96 = 23,563.68/x
  3. Step 3: Cross multiply
    70,321.56x = 105,456.96 × 23,563.68
  4. Step 4: Simplify right side
    70,321.56x = 2,484,954,059.21
  5. Step 5: Solve for x
    x = 2,484,954,059.21/70,321.56
  6. Step 6: Final answer
    x = 35,337.02

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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.