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Finding the Fourth Proportional to 31,098.44, 46,628.94 and 12,380.84

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Solution

The fourth proportional to 31,098.44, 46,628.94 and 12,380.84 is: 18,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.44 : 46,628.94 = 12,380.84 : x
  2. Step 2: Convert to fraction form
    31,098.44/46,628.94 = 12,380.84/x
  3. Step 3: Cross multiply
    31,098.44x = 46,628.94 × 12,380.84
  4. Step 4: Simplify right side
    31,098.44x = 577,305,445.51
  5. Step 5: Solve for x
    x = 577,305,445.51/31,098.44
  6. Step 6: Final answer
    x = 18,563.81

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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.