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Finding the Fourth Proportional to 70,967.87, 106,357.23 and 33,537.88

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Solution

The fourth proportional to 70,967.87, 106,357.23 and 33,537.88 is: 50,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,967.87 : 106,357.23 = 33,537.88 : x
  2. Step 2: Convert to fraction form
    70,967.87/106,357.23 = 33,537.88/x
  3. Step 3: Cross multiply
    70,967.87x = 106,357.23 × 33,537.88
  4. Step 4: Simplify right side
    70,967.87x = 3,566,996,016.87
  5. Step 5: Solve for x
    x = 3,566,996,016.87/70,967.87
  6. Step 6: Final answer
    x = 50,262.13

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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.