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Finding the Fourth Proportional to 42,794.50, 64,201.47 and 23,072.62

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Solution

The fourth proportional to 42,794.50, 64,201.47 and 23,072.62 is: 34,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,794.50 : 64,201.47 = 23,072.62 : x
  2. Step 2: Convert to fraction form
    42,794.50/64,201.47 = 23,072.62/x
  3. Step 3: Cross multiply
    42,794.50x = 64,201.47 × 23,072.62
  4. Step 4: Simplify right side
    42,794.50x = 1,481,296,120.75
  5. Step 5: Solve for x
    x = 1,481,296,120.75/42,794.50
  6. Step 6: Final answer
    x = 34,614.17

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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.