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Finding the Fourth Proportional to 70,383.27, 105,581.78 and 20,463.75

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Solution

The fourth proportional to 70,383.27, 105,581.78 and 20,463.75 is: 30,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,383.27 : 105,581.78 = 20,463.75 : x
  2. Step 2: Convert to fraction form
    70,383.27/105,581.78 = 20,463.75/x
  3. Step 3: Cross multiply
    70,383.27x = 105,581.78 × 20,463.75
  4. Step 4: Simplify right side
    70,383.27x = 2,160,599,048.16
  5. Step 5: Solve for x
    x = 2,160,599,048.16/70,383.27
  6. Step 6: Final answer
    x = 30,697.62

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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.