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Finding the Fourth Proportional to 31,848.25, 47,773.45 and 8,474.71

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Solution

The fourth proportional to 31,848.25, 47,773.45 and 8,474.71 is: 12,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848.25 : 47,773.45 = 8,474.71 : x
  2. Step 2: Convert to fraction form
    31,848.25/47,773.45 = 8,474.71/x
  3. Step 3: Cross multiply
    31,848.25x = 47,773.45 × 8,474.71
  4. Step 4: Simplify right side
    31,848.25x = 404,865,874.40
  5. Step 5: Solve for x
    x = 404,865,874.40/31,848.25
  6. Step 6: Final answer
    x = 12,712.34

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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.