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Finding the Fourth Proportional to 73,757.14, 101,783.76 and 41,489.32

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Solution

The fourth proportional to 73,757.14, 101,783.76 and 41,489.32 is: 57,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,757.14 : 101,783.76 = 41,489.32 : x
  2. Step 2: Convert to fraction form
    73,757.14/101,783.76 = 41,489.32/x
  3. Step 3: Cross multiply
    73,757.14x = 101,783.76 × 41,489.32
  4. Step 4: Simplify right side
    73,757.14x = 4,222,938,770.24
  5. Step 5: Solve for x
    x = 4,222,938,770.24/73,757.14
  6. Step 6: Final answer
    x = 57,254.65

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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.