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Finding the Fourth Proportional to 31,709.90, 43,759.55 and 18,281.07

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Solution

The fourth proportional to 31,709.90, 43,759.55 and 18,281.07 is: 25,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.90 : 43,759.55 = 18,281.07 : x
  2. Step 2: Convert to fraction form
    31,709.90/43,759.55 = 18,281.07/x
  3. Step 3: Cross multiply
    31,709.90x = 43,759.55 × 18,281.07
  4. Step 4: Simplify right side
    31,709.90x = 799,971,305.31
  5. Step 5: Solve for x
    x = 799,971,305.31/31,709.90
  6. Step 6: Final answer
    x = 25,227.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.