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Finding the Fourth Proportional to 75,887.88, 104,725.43 and 41,896.41

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Solution

The fourth proportional to 75,887.88, 104,725.43 and 41,896.41 is: 57,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,887.88 : 104,725.43 = 41,896.41 : x
  2. Step 2: Convert to fraction form
    75,887.88/104,725.43 = 41,896.41/x
  3. Step 3: Cross multiply
    75,887.88x = 104,725.43 × 41,896.41
  4. Step 4: Simplify right side
    75,887.88x = 4,387,619,343.22
  5. Step 5: Solve for x
    x = 4,387,619,343.22/75,887.88
  6. Step 6: Final answer
    x = 57,817.13

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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.