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Finding the Fourth Proportional to 53,814.57, 80,721.90 and 25,728

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Solution

The fourth proportional to 53,814.57, 80,721.90 and 25,728 is: 38,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,814.57 : 80,721.90 = 25,728 : x
  2. Step 2: Convert to fraction form
    53,814.57/80,721.90 = 25,728/x
  3. Step 3: Cross multiply
    53,814.57x = 80,721.90 × 25,728
  4. Step 4: Simplify right side
    53,814.57x = 2,076,813,043.20
  5. Step 5: Solve for x
    x = 2,076,813,043.20/53,814.57
  6. Step 6: Final answer
    x = 38,592.02

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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.