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Finding the Fourth Proportional to 31,805.26, 47,702.49 and 8,434.06

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Solution

The fourth proportional to 31,805.26, 47,702.49 and 8,434.06 is: 12,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.26 : 47,702.49 = 8,434.06 : x
  2. Step 2: Convert to fraction form
    31,805.26/47,702.49 = 8,434.06/x
  3. Step 3: Cross multiply
    31,805.26x = 47,702.49 × 8,434.06
  4. Step 4: Simplify right side
    31,805.26x = 402,325,511.93
  5. Step 5: Solve for x
    x = 402,325,511.93/31,805.26
  6. Step 6: Final answer
    x = 12,649.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.