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Finding the Fourth Proportional to 57,772.38, 86,663.49 and 16,219.38

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Solution

The fourth proportional to 57,772.38, 86,663.49 and 16,219.38 is: 24,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772.38 : 86,663.49 = 16,219.38 : x
  2. Step 2: Convert to fraction form
    57,772.38/86,663.49 = 16,219.38/x
  3. Step 3: Cross multiply
    57,772.38x = 86,663.49 × 16,219.38
  4. Step 4: Simplify right side
    57,772.38x = 1,405,628,076.44
  5. Step 5: Solve for x
    x = 1,405,628,076.44/57,772.38
  6. Step 6: Final answer
    x = 24,330.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.