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Finding the Fourth Proportional to 75,145, 103,707.66 and 41,611

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Solution

The fourth proportional to 75,145, 103,707.66 and 41,611 is: 57,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,145 : 103,707.66 = 41,611 : x
  2. Step 2: Convert to fraction form
    75,145/103,707.66 = 41,611/x
  3. Step 3: Cross multiply
    75,145x = 103,707.66 × 41,611
  4. Step 4: Simplify right side
    75,145x = 4,315,379,440.26
  5. Step 5: Solve for x
    x = 4,315,379,440.26/75,145
  6. Step 6: Final answer
    x = 57,427.37

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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.