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Finding the Fourth Proportional to 31,201.95, 46,814.62 and 16,199.71

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Solution

The fourth proportional to 31,201.95, 46,814.62 and 16,199.71 is: 24,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.95 : 46,814.62 = 16,199.71 : x
  2. Step 2: Convert to fraction form
    31,201.95/46,814.62 = 16,199.71/x
  3. Step 3: Cross multiply
    31,201.95x = 46,814.62 × 16,199.71
  4. Step 4: Simplify right side
    31,201.95x = 758,383,203.58
  5. Step 5: Solve for x
    x = 758,383,203.58/31,201.95
  6. Step 6: Final answer
    x = 24,305.63

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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.