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Finding the Fourth Proportional to 47,474.40, 71,215.67 and 12,414

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Solution

The fourth proportional to 47,474.40, 71,215.67 and 12,414 is: 18,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474.40 : 71,215.67 = 12,414 : x
  2. Step 2: Convert to fraction form
    47,474.40/71,215.67 = 12,414/x
  3. Step 3: Cross multiply
    47,474.40x = 71,215.67 × 12,414
  4. Step 4: Simplify right side
    47,474.40x = 884,071,265.31
  5. Step 5: Solve for x
    x = 884,071,265.31/47,474.40
  6. Step 6: Final answer
    x = 18,622.06

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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.