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Finding the Fourth Proportional to 70,670.34, 106,016.01 and 23,276.68

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Solution

The fourth proportional to 70,670.34, 106,016.01 and 23,276.68 is: 34,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,670.34 : 106,016.01 = 23,276.68 : x
  2. Step 2: Convert to fraction form
    70,670.34/106,016.01 = 23,276.68/x
  3. Step 3: Cross multiply
    70,670.34x = 106,016.01 × 23,276.68
  4. Step 4: Simplify right side
    70,670.34x = 2,467,700,739.65
  5. Step 5: Solve for x
    x = 2,467,700,739.65/70,670.34
  6. Step 6: Final answer
    x = 34,918.48

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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.