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Finding the Fourth Proportional to 31,438.70, 43,381.76 and 18,009.15

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Solution

The fourth proportional to 31,438.70, 43,381.76 and 18,009.15 is: 24,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.70 : 43,381.76 = 18,009.15 : x
  2. Step 2: Convert to fraction form
    31,438.70/43,381.76 = 18,009.15/x
  3. Step 3: Cross multiply
    31,438.70x = 43,381.76 × 18,009.15
  4. Step 4: Simplify right side
    31,438.70x = 781,268,533.06
  5. Step 5: Solve for x
    x = 781,268,533.06/31,438.70
  6. Step 6: Final answer
    x = 24,850.54

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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.