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Finding the Fourth Proportional to 31,307.25, 46,963.76 and 11,321.73

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Solution

The fourth proportional to 31,307.25, 46,963.76 and 11,321.73 is: 16,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.25 : 46,963.76 = 11,321.73 : x
  2. Step 2: Convert to fraction form
    31,307.25/46,963.76 = 11,321.73/x
  3. Step 3: Cross multiply
    31,307.25x = 46,963.76 × 11,321.73
  4. Step 4: Simplify right side
    31,307.25x = 531,711,038.81
  5. Step 5: Solve for x
    x = 531,711,038.81/31,307.25
  6. Step 6: Final answer
    x = 16,983.64

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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.