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Finding the Fourth Proportional to 31,814.26, 47,718.15 and 8,443.06

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Solution

The fourth proportional to 31,814.26, 47,718.15 and 8,443.06 is: 12,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814.26 : 47,718.15 = 8,443.06 : x
  2. Step 2: Convert to fraction form
    31,814.26/47,718.15 = 8,443.06/x
  3. Step 3: Cross multiply
    31,814.26x = 47,718.15 × 8,443.06
  4. Step 4: Simplify right side
    31,814.26x = 402,887,203.54
  5. Step 5: Solve for x
    x = 402,887,203.54/31,814.26
  6. Step 6: Final answer
    x = 12,663.73

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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.