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Finding the Fourth Proportional to 54,509.28, 81,821.16 and 48,309

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Solution

The fourth proportional to 54,509.28, 81,821.16 and 48,309 is: 72,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509.28 : 81,821.16 = 48,309 : x
  2. Step 2: Convert to fraction form
    54,509.28/81,821.16 = 48,309/x
  3. Step 3: Cross multiply
    54,509.28x = 81,821.16 × 48,309
  4. Step 4: Simplify right side
    54,509.28x = 3,952,698,418.44
  5. Step 5: Solve for x
    x = 3,952,698,418.44/54,509.28
  6. Step 6: Final answer
    x = 72,514.23

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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.