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Finding the Fourth Proportional to 39,539.50, 54,564 and 21,634.24

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Solution

The fourth proportional to 39,539.50, 54,564 and 21,634.24 is: 29,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,539.50 : 54,564 = 21,634.24 : x
  2. Step 2: Convert to fraction form
    39,539.50/54,564 = 21,634.24/x
  3. Step 3: Cross multiply
    39,539.50x = 54,564 × 21,634.24
  4. Step 4: Simplify right side
    39,539.50x = 1,180,450,671.36
  5. Step 5: Solve for x
    x = 1,180,450,671.36/39,539.50
  6. Step 6: Final answer
    x = 29,854.97

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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.