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Finding the Fourth Proportional to 54,594.96, 81,826.80 and 29,634

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Solution

The fourth proportional to 54,594.96, 81,826.80 and 29,634 is: 44,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,594.96 : 81,826.80 = 29,634 : x
  2. Step 2: Convert to fraction form
    54,594.96/81,826.80 = 29,634/x
  3. Step 3: Cross multiply
    54,594.96x = 81,826.80 × 29,634
  4. Step 4: Simplify right side
    54,594.96x = 2,424,855,391.20
  5. Step 5: Solve for x
    x = 2,424,855,391.20/54,594.96
  6. Step 6: Final answer
    x = 44,415.37

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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.