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Finding the Fourth Proportional to 82,419.72, 113,739.21 and 44,694

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Solution

The fourth proportional to 82,419.72, 113,739.21 and 44,694 is: 61,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,419.72 : 113,739.21 = 44,694 : x
  2. Step 2: Convert to fraction form
    82,419.72/113,739.21 = 44,694/x
  3. Step 3: Cross multiply
    82,419.72x = 113,739.21 × 44,694
  4. Step 4: Simplify right side
    82,419.72x = 5,083,460,363.48
  5. Step 5: Solve for x
    x = 5,083,460,363.48/82,419.72
  6. Step 6: Final answer
    x = 61,677.72

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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.