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Finding the Fourth Proportional to 47,270.70, 70,906.05 and 23,894.10

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Solution

The fourth proportional to 47,270.70, 70,906.05 and 23,894.10 is: 35,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270.70 : 70,906.05 = 23,894.10 : x
  2. Step 2: Convert to fraction form
    47,270.70/70,906.05 = 23,894.10/x
  3. Step 3: Cross multiply
    47,270.70x = 70,906.05 × 23,894.10
  4. Step 4: Simplify right side
    47,270.70x = 1,694,236,249.31
  5. Step 5: Solve for x
    x = 1,694,236,249.31/47,270.70
  6. Step 6: Final answer
    x = 35,841.15

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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.