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Finding the Fourth Proportional to 70,591.76, 105,903.42 and 23,843.42

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Solution

The fourth proportional to 70,591.76, 105,903.42 and 23,843.42 is: 35,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,591.76 : 105,903.42 = 23,843.42 : x
  2. Step 2: Convert to fraction form
    70,591.76/105,903.42 = 23,843.42/x
  3. Step 3: Cross multiply
    70,591.76x = 105,903.42 × 23,843.42
  4. Step 4: Simplify right side
    70,591.76x = 2,525,099,722.50
  5. Step 5: Solve for x
    x = 2,525,099,722.50/70,591.76
  6. Step 6: Final answer
    x = 35,770.46

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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.