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Finding the Fourth Proportional to 31,106.87, 46,633.88 and 14,476.56

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Solution

The fourth proportional to 31,106.87, 46,633.88 and 14,476.56 is: 21,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.87 : 46,633.88 = 14,476.56 : x
  2. Step 2: Convert to fraction form
    31,106.87/46,633.88 = 14,476.56/x
  3. Step 3: Cross multiply
    31,106.87x = 46,633.88 × 14,476.56
  4. Step 4: Simplify right side
    31,106.87x = 675,098,161.85
  5. Step 5: Solve for x
    x = 675,098,161.85/31,106.87
  6. Step 6: Final answer
    x = 21,702.54

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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.