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Finding the Fourth Proportional to 75,136.50, 103,689.09 and 41,603.22

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Solution

The fourth proportional to 75,136.50, 103,689.09 and 41,603.22 is: 57,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,136.50 : 103,689.09 = 41,603.22 : x
  2. Step 2: Convert to fraction form
    75,136.50/103,689.09 = 41,603.22/x
  3. Step 3: Cross multiply
    75,136.50x = 103,689.09 × 41,603.22
  4. Step 4: Simplify right side
    75,136.50x = 4,313,800,022.87
  5. Step 5: Solve for x
    x = 4,313,800,022.87/75,136.50
  6. Step 6: Final answer
    x = 57,412.84

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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.