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Finding the Fourth Proportional to 31,849, 47,773.50 and 12,393

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Solution

The fourth proportional to 31,849, 47,773.50 and 12,393 is: 18,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,849 : 47,773.50 = 12,393 : x
  2. Step 2: Convert to fraction form
    31,849/47,773.50 = 12,393/x
  3. Step 3: Cross multiply
    31,849x = 47,773.50 × 12,393
  4. Step 4: Simplify right side
    31,849x = 592,056,985.50
  5. Step 5: Solve for x
    x = 592,056,985.50/31,849
  6. Step 6: Final answer
    x = 18,589.50

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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.