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Finding the Fourth Proportional to 75,298.56, 103,912.06 and 41,764.56

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Solution

The fourth proportional to 75,298.56, 103,912.06 and 41,764.56 is: 57,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.56 : 103,912.06 = 41,764.56 : x
  2. Step 2: Convert to fraction form
    75,298.56/103,912.06 = 41,764.56/x
  3. Step 3: Cross multiply
    75,298.56x = 103,912.06 × 41,764.56
  4. Step 4: Simplify right side
    75,298.56x = 4,339,841,464.59
  5. Step 5: Solve for x
    x = 4,339,841,464.59/75,298.56
  6. Step 6: Final answer
    x = 57,635.12

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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.