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Finding the Fourth Proportional to 75,142.56, 103,696.75 and 41,608.56

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Solution

The fourth proportional to 75,142.56, 103,696.75 and 41,608.56 is: 57,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.56 : 103,696.75 = 41,608.56 : x
  2. Step 2: Convert to fraction form
    75,142.56/103,696.75 = 41,608.56/x
  3. Step 3: Cross multiply
    75,142.56x = 103,696.75 × 41,608.56
  4. Step 4: Simplify right side
    75,142.56x = 4,314,672,444.18
  5. Step 5: Solve for x
    x = 4,314,672,444.18/75,142.56
  6. Step 6: Final answer
    x = 57,419.82

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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.