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Finding the Fourth Proportional to 70,687.30, 106,048.38 and 35,165.47

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Solution

The fourth proportional to 70,687.30, 106,048.38 and 35,165.47 is: 52,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,687.30 : 106,048.38 = 35,165.47 : x
  2. Step 2: Convert to fraction form
    70,687.30/106,048.38 = 35,165.47/x
  3. Step 3: Cross multiply
    70,687.30x = 106,048.38 × 35,165.47
  4. Step 4: Simplify right side
    70,687.30x = 3,729,241,125.44
  5. Step 5: Solve for x
    x = 3,729,241,125.44/70,687.30
  6. Step 6: Final answer
    x = 52,756.88

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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.