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Finding the Fourth Proportional to 47,980.68, 66,213.09 and 27,849.21

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Solution

The fourth proportional to 47,980.68, 66,213.09 and 27,849.21 is: 38,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.68 : 66,213.09 = 27,849.21 : x
  2. Step 2: Convert to fraction form
    47,980.68/66,213.09 = 27,849.21/x
  3. Step 3: Cross multiply
    47,980.68x = 66,213.09 × 27,849.21
  4. Step 4: Simplify right side
    47,980.68x = 1,843,982,248.16
  5. Step 5: Solve for x
    x = 1,843,982,248.16/47,980.68
  6. Step 6: Final answer
    x = 38,431.77

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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.