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Finding the Fourth Proportional to 31,114.27, 46,671.31 and 7,740.71

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Solution

The fourth proportional to 31,114.27, 46,671.31 and 7,740.71 is: 11,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114.27 : 46,671.31 = 7,740.71 : x
  2. Step 2: Convert to fraction form
    31,114.27/46,671.31 = 7,740.71/x
  3. Step 3: Cross multiply
    31,114.27x = 46,671.31 × 7,740.71
  4. Step 4: Simplify right side
    31,114.27x = 361,269,076.03
  5. Step 5: Solve for x
    x = 361,269,076.03/31,114.27
  6. Step 6: Final answer
    x = 11,611.04

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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.