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Finding the Fourth Proportional to 31,290.74, 46,657 and 27,813.41

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Solution

The fourth proportional to 31,290.74, 46,657 and 27,813.41 is: 41,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.74 : 46,657 = 27,813.41 : x
  2. Step 2: Convert to fraction form
    31,290.74/46,657 = 27,813.41/x
  3. Step 3: Cross multiply
    31,290.74x = 46,657 × 27,813.41
  4. Step 4: Simplify right side
    31,290.74x = 1,297,690,270.37
  5. Step 5: Solve for x
    x = 1,297,690,270.37/31,290.74
  6. Step 6: Final answer
    x = 41,472.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.