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Finding the Fourth Proportional to 75,896.37, 104,731.56 and 41,899.41

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Solution

The fourth proportional to 75,896.37, 104,731.56 and 41,899.41 is: 57,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,896.37 : 104,731.56 = 41,899.41 : x
  2. Step 2: Convert to fraction form
    75,896.37/104,731.56 = 41,899.41/x
  3. Step 3: Cross multiply
    75,896.37x = 104,731.56 × 41,899.41
  4. Step 4: Simplify right side
    75,896.37x = 4,388,190,572.38
  5. Step 5: Solve for x
    x = 4,388,190,572.38/75,896.37
  6. Step 6: Final answer
    x = 57,818.19

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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.