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Finding the Fourth Proportional to 31,307.15, 46,963.62 and 11,321.64

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Solution

The fourth proportional to 31,307.15, 46,963.62 and 11,321.64 is: 16,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.15 : 46,963.62 = 11,321.64 : x
  2. Step 2: Convert to fraction form
    31,307.15/46,963.62 = 11,321.64/x
  3. Step 3: Cross multiply
    31,307.15x = 46,963.62 × 11,321.64
  4. Step 4: Simplify right side
    31,307.15x = 531,705,198.74
  5. Step 5: Solve for x
    x = 531,705,198.74/31,307.15
  6. Step 6: Final answer
    x = 16,983.51

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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.