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Finding the Fourth Proportional to 75,627.41, 104,361.76 and 41,629.28

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Solution

The fourth proportional to 75,627.41, 104,361.76 and 41,629.28 is: 57,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,627.41 : 104,361.76 = 41,629.28 : x
  2. Step 2: Convert to fraction form
    75,627.41/104,361.76 = 41,629.28/x
  3. Step 3: Cross multiply
    75,627.41x = 104,361.76 × 41,629.28
  4. Step 4: Simplify right side
    75,627.41x = 4,344,504,302.45
  5. Step 5: Solve for x
    x = 4,344,504,302.45/75,627.41
  6. Step 6: Final answer
    x = 57,446.16

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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.