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Finding the Fourth Proportional to 31,687.74, 47,514.56 and 12,702.85

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Solution

The fourth proportional to 31,687.74, 47,514.56 and 12,702.85 is: 19,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.74 : 47,514.56 = 12,702.85 : x
  2. Step 2: Convert to fraction form
    31,687.74/47,514.56 = 12,702.85/x
  3. Step 3: Cross multiply
    31,687.74x = 47,514.56 × 12,702.85
  4. Step 4: Simplify right side
    31,687.74x = 603,570,328.50
  5. Step 5: Solve for x
    x = 603,570,328.50/31,687.74
  6. Step 6: Final answer
    x = 19,047.44

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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.