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Finding the Fourth Proportional to 31,879.52, 47,818.86 and 14,336.96

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Solution

The fourth proportional to 31,879.52, 47,818.86 and 14,336.96 is: 21,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.52 : 47,818.86 = 14,336.96 : x
  2. Step 2: Convert to fraction form
    31,879.52/47,818.86 = 14,336.96/x
  3. Step 3: Cross multiply
    31,879.52x = 47,818.86 × 14,336.96
  4. Step 4: Simplify right side
    31,879.52x = 685,577,083.07
  5. Step 5: Solve for x
    x = 685,577,083.07/31,879.52
  6. Step 6: Final answer
    x = 21,505.25

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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.