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Finding the Fourth Proportional to 31,705.26, 47,554.29 and 8,333.52

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Solution

The fourth proportional to 31,705.26, 47,554.29 and 8,333.52 is: 12,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.26 : 47,554.29 = 8,333.52 : x
  2. Step 2: Convert to fraction form
    31,705.26/47,554.29 = 8,333.52/x
  3. Step 3: Cross multiply
    31,705.26x = 47,554.29 × 8,333.52
  4. Step 4: Simplify right side
    31,705.26x = 396,294,626.80
  5. Step 5: Solve for x
    x = 396,294,626.80/31,705.26
  6. Step 6: Final answer
    x = 12,499.33

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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.