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Finding the Fourth Proportional to 70,891.75, 106,301.46 and 23,489.74

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Solution

The fourth proportional to 70,891.75, 106,301.46 and 23,489.74 is: 35,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,891.75 : 106,301.46 = 23,489.74 : x
  2. Step 2: Convert to fraction form
    70,891.75/106,301.46 = 23,489.74/x
  3. Step 3: Cross multiply
    70,891.75x = 106,301.46 × 23,489.74
  4. Step 4: Simplify right side
    70,891.75x = 2,496,993,657.02
  5. Step 5: Solve for x
    x = 2,496,993,657.02/70,891.75
  6. Step 6: Final answer
    x = 35,222.63

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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.