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Finding the Fourth Proportional to 70,563.80, 105,839.20 and 23,817.08

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Solution

The fourth proportional to 70,563.80, 105,839.20 and 23,817.08 is: 35,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,563.80 : 105,839.20 = 23,817.08 : x
  2. Step 2: Convert to fraction form
    70,563.80/105,839.20 = 23,817.08/x
  3. Step 3: Cross multiply
    70,563.80x = 105,839.20 × 23,817.08
  4. Step 4: Simplify right side
    70,563.80x = 2,520,780,693.54
  5. Step 5: Solve for x
    x = 2,520,780,693.54/70,563.80
  6. Step 6: Final answer
    x = 35,723.43

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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.