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Finding the Fourth Proportional to 31,805.07, 47,702.21 and 8,433.87

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Solution

The fourth proportional to 31,805.07, 47,702.21 and 8,433.87 is: 12,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.07 : 47,702.21 = 8,433.87 : x
  2. Step 2: Convert to fraction form
    31,805.07/47,702.21 = 8,433.87/x
  3. Step 3: Cross multiply
    31,805.07x = 47,702.21 × 8,433.87
  4. Step 4: Simplify right side
    31,805.07x = 402,314,195.68
  5. Step 5: Solve for x
    x = 402,314,195.68/31,805.07
  6. Step 6: Final answer
    x = 12,649.37

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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.