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Finding the Fourth Proportional to 53,618.38, 73,996.86 and 30,961.60

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Solution

The fourth proportional to 53,618.38, 73,996.86 and 30,961.60 is: 42,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,618.38 : 73,996.86 = 30,961.60 : x
  2. Step 2: Convert to fraction form
    53,618.38/73,996.86 = 30,961.60/x
  3. Step 3: Cross multiply
    53,618.38x = 73,996.86 × 30,961.60
  4. Step 4: Simplify right side
    53,618.38x = 2,291,061,180.58
  5. Step 5: Solve for x
    x = 2,291,061,180.58/53,618.38
  6. Step 6: Final answer
    x = 42,729.03

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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.