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Finding the Fourth Proportional to 47,694.34, 65,821.17 and 27,554.91

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Solution

The fourth proportional to 47,694.34, 65,821.17 and 27,554.91 is: 38,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,694.34 : 65,821.17 = 27,554.91 : x
  2. Step 2: Convert to fraction form
    47,694.34/65,821.17 = 27,554.91/x
  3. Step 3: Cross multiply
    47,694.34x = 65,821.17 × 27,554.91
  4. Step 4: Simplify right side
    47,694.34x = 1,813,696,415.44
  5. Step 5: Solve for x
    x = 1,813,696,415.44/47,694.34
  6. Step 6: Final answer
    x = 38,027.50

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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.