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Finding the Fourth Proportional to 38,295.78, 52,844.69 and 22,160.30

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Solution

The fourth proportional to 38,295.78, 52,844.69 and 22,160.30 is: 30,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.78 : 52,844.69 = 22,160.30 : x
  2. Step 2: Convert to fraction form
    38,295.78/52,844.69 = 22,160.30/x
  3. Step 3: Cross multiply
    38,295.78x = 52,844.69 × 22,160.30
  4. Step 4: Simplify right side
    38,295.78x = 1,171,054,183.81
  5. Step 5: Solve for x
    x = 1,171,054,183.81/38,295.78
  6. Step 6: Final answer
    x = 30,579.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.