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Finding the Fourth Proportional to 70,591.42, 105,905.49 and 26,230.96

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Solution

The fourth proportional to 70,591.42, 105,905.49 and 26,230.96 is: 39,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,591.42 : 105,905.49 = 26,230.96 : x
  2. Step 2: Convert to fraction form
    70,591.42/105,905.49 = 26,230.96/x
  3. Step 3: Cross multiply
    70,591.42x = 105,905.49 × 26,230.96
  4. Step 4: Simplify right side
    70,591.42x = 2,778,002,671.97
  5. Step 5: Solve for x
    x = 2,778,002,671.97/70,591.42
  6. Step 6: Final answer
    x = 39,353.26

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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.