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Finding the Fourth Proportional to 31,079.70, 46,633.46 and 16,285.19

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Solution

The fourth proportional to 31,079.70, 46,633.46 and 16,285.19 is: 24,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,079.70 : 46,633.46 = 16,285.19 : x
  2. Step 2: Convert to fraction form
    31,079.70/46,633.46 = 16,285.19/x
  3. Step 3: Cross multiply
    31,079.70x = 46,633.46 × 16,285.19
  4. Step 4: Simplify right side
    31,079.70x = 759,434,441.86
  5. Step 5: Solve for x
    x = 759,434,441.86/31,079.70
  6. Step 6: Final answer
    x = 24,435.06

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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.