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Finding the Fourth Proportional to 34,206.72, 47,057.28 and 27,905.28

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Solution

The fourth proportional to 34,206.72, 47,057.28 and 27,905.28 is: 38,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.72 : 47,057.28 = 27,905.28 : x
  2. Step 2: Convert to fraction form
    34,206.72/47,057.28 = 27,905.28/x
  3. Step 3: Cross multiply
    34,206.72x = 47,057.28 × 27,905.28
  4. Step 4: Simplify right side
    34,206.72x = 1,313,146,574.44
  5. Step 5: Solve for x
    x = 1,313,146,574.44/34,206.72
  6. Step 6: Final answer
    x = 38,388.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.