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Finding the Fourth Proportional to 180,694.29, 271,018.31 and 47,584.77

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Solution

The fourth proportional to 180,694.29, 271,018.31 and 47,584.77 is: 71,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,694.29 : 271,018.31 = 47,584.77 : x
  2. Step 2: Convert to fraction form
    180,694.29/271,018.31 = 47,584.77/x
  3. Step 3: Cross multiply
    180,694.29x = 271,018.31 × 47,584.77
  4. Step 4: Simplify right side
    180,694.29x = 12,896,342,692.90
  5. Step 5: Solve for x
    x = 12,896,342,692.90/180,694.29
  6. Step 6: Final answer
    x = 71,371.06

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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.