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Finding the Fourth Proportional to 47,777.70, 65,927.82 and 27,640.90

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Solution

The fourth proportional to 47,777.70, 65,927.82 and 27,640.90 is: 38,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,777.70 : 65,927.82 = 27,640.90 : x
  2. Step 2: Convert to fraction form
    47,777.70/65,927.82 = 27,640.90/x
  3. Step 3: Cross multiply
    47,777.70x = 65,927.82 × 27,640.90
  4. Step 4: Simplify right side
    47,777.70x = 1,822,304,279.84
  5. Step 5: Solve for x
    x = 1,822,304,279.84/47,777.70
  6. Step 6: Final answer
    x = 38,141.31

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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.