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Finding the Fourth Proportional to 82,578.30, 114,005.34 and 54,366

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Solution

The fourth proportional to 82,578.30, 114,005.34 and 54,366 is: 75,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578.30 : 114,005.34 = 54,366 : x
  2. Step 2: Convert to fraction form
    82,578.30/114,005.34 = 54,366/x
  3. Step 3: Cross multiply
    82,578.30x = 114,005.34 × 54,366
  4. Step 4: Simplify right side
    82,578.30x = 6,198,014,314.44
  5. Step 5: Solve for x
    x = 6,198,014,314.44/82,578.30
  6. Step 6: Final answer
    x = 75,056.21

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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.