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Finding the Fourth Proportional to 31,307.50, 46,963.99 and 7,933.94

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Solution

The fourth proportional to 31,307.50, 46,963.99 and 7,933.94 is: 11,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.50 : 46,963.99 = 7,933.94 : x
  2. Step 2: Convert to fraction form
    31,307.50/46,963.99 = 7,933.94/x
  3. Step 3: Cross multiply
    31,307.50x = 46,963.99 × 7,933.94
  4. Step 4: Simplify right side
    31,307.50x = 372,609,439.15
  5. Step 5: Solve for x
    x = 372,609,439.15/31,307.50
  6. Step 6: Final answer
    x = 11,901.60

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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.