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Finding the Fourth Proportional to 31,739.41, 43,798.70 and 18,309.87

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Solution

The fourth proportional to 31,739.41, 43,798.70 and 18,309.87 is: 25,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,739.41 : 43,798.70 = 18,309.87 : x
  2. Step 2: Convert to fraction form
    31,739.41/43,798.70 = 18,309.87/x
  3. Step 3: Cross multiply
    31,739.41x = 43,798.70 × 18,309.87
  4. Step 4: Simplify right side
    31,739.41x = 801,948,503.17
  5. Step 5: Solve for x
    x = 801,948,503.17/31,739.41
  6. Step 6: Final answer
    x = 25,266.65

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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.