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Finding the Fourth Proportional to 75,534.74, 104,240.81 and 41,544.81

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Solution

The fourth proportional to 75,534.74, 104,240.81 and 41,544.81 is: 57,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534.74 : 104,240.81 = 41,544.81 : x
  2. Step 2: Convert to fraction form
    75,534.74/104,240.81 = 41,544.81/x
  3. Step 3: Cross multiply
    75,534.74x = 104,240.81 × 41,544.81
  4. Step 4: Simplify right side
    75,534.74x = 4,330,664,749.56
  5. Step 5: Solve for x
    x = 4,330,664,749.56/75,534.74
  6. Step 6: Final answer
    x = 57,333.42

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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.