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Finding the Fourth Proportional to 70,463.20, 105,772.56 and 35,393.44

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Solution

The fourth proportional to 70,463.20, 105,772.56 and 35,393.44 is: 53,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,463.20 : 105,772.56 = 35,393.44 : x
  2. Step 2: Convert to fraction form
    70,463.20/105,772.56 = 35,393.44/x
  3. Step 3: Cross multiply
    70,463.20x = 105,772.56 × 35,393.44
  4. Step 4: Simplify right side
    70,463.20x = 3,743,654,756.01
  5. Step 5: Solve for x
    x = 3,743,654,756.01/70,463.20
  6. Step 6: Final answer
    x = 53,129.22

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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.