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Finding the Fourth Proportional to 31,312.57, 46,957.17 and 12,586.27

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Solution

The fourth proportional to 31,312.57, 46,957.17 and 12,586.27 is: 18,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,312.57 : 46,957.17 = 12,586.27 : x
  2. Step 2: Convert to fraction form
    31,312.57/46,957.17 = 12,586.27/x
  3. Step 3: Cross multiply
    31,312.57x = 46,957.17 × 12,586.27
  4. Step 4: Simplify right side
    31,312.57x = 591,015,620.06
  5. Step 5: Solve for x
    x = 591,015,620.06/31,312.57
  6. Step 6: Final answer
    x = 18,874.71

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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.