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Finding the Fourth Proportional to 70,909.75, 106,353.69 and 23,545.41

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Solution

The fourth proportional to 70,909.75, 106,353.69 and 23,545.41 is: 35,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,909.75 : 106,353.69 = 23,545.41 : x
  2. Step 2: Convert to fraction form
    70,909.75/106,353.69 = 23,545.41/x
  3. Step 3: Cross multiply
    70,909.75x = 106,353.69 × 23,545.41
  4. Step 4: Simplify right side
    70,909.75x = 2,504,141,236.06
  5. Step 5: Solve for x
    x = 2,504,141,236.06/70,909.75
  6. Step 6: Final answer
    x = 35,314.48

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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.