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Finding the Fourth Proportional to 75,892.56, 104,729.00 and 41,900.31

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Solution

The fourth proportional to 75,892.56, 104,729.00 and 41,900.31 is: 57,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892.56 : 104,729.00 = 41,900.31 : x
  2. Step 2: Convert to fraction form
    75,892.56/104,729.00 = 41,900.31/x
  3. Step 3: Cross multiply
    75,892.56x = 104,729.00 × 41,900.31
  4. Step 4: Simplify right side
    75,892.56x = 4,388,176,832.84
  5. Step 5: Solve for x
    x = 4,388,176,832.84/75,892.56
  6. Step 6: Final answer
    x = 57,820.91

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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.