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Finding the Fourth Proportional to 31,114.94, 46,612.26 and 19,233.86

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Solution

The fourth proportional to 31,114.94, 46,612.26 and 19,233.86 is: 28,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114.94 : 46,612.26 = 19,233.86 : x
  2. Step 2: Convert to fraction form
    31,114.94/46,612.26 = 19,233.86/x
  3. Step 3: Cross multiply
    31,114.94x = 46,612.26 × 19,233.86
  4. Step 4: Simplify right side
    31,114.94x = 896,533,450.06
  5. Step 5: Solve for x
    x = 896,533,450.06/31,114.94
  6. Step 6: Final answer
    x = 28,813.61

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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.