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Finding the Fourth Proportional to 74,268.96, 111,408.24 and 21,674

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Solution

The fourth proportional to 74,268.96, 111,408.24 and 21,674 is: 32,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,268.96 : 111,408.24 = 21,674 : x
  2. Step 2: Convert to fraction form
    74,268.96/111,408.24 = 21,674/x
  3. Step 3: Cross multiply
    74,268.96x = 111,408.24 × 21,674
  4. Step 4: Simplify right side
    74,268.96x = 2,414,662,193.76
  5. Step 5: Solve for x
    x = 2,414,662,193.76/74,268.96
  6. Step 6: Final answer
    x = 32,512.40

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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.