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Finding the Fourth Proportional to 75,341, 103,975.44 and 41,807

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Solution

The fourth proportional to 75,341, 103,975.44 and 41,807 is: 57,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,341 : 103,975.44 = 41,807 : x
  2. Step 2: Convert to fraction form
    75,341/103,975.44 = 41,807/x
  3. Step 3: Cross multiply
    75,341x = 103,975.44 × 41,807
  4. Step 4: Simplify right side
    75,341x = 4,346,901,220.08
  5. Step 5: Solve for x
    x = 4,346,901,220.08/75,341
  6. Step 6: Final answer
    x = 57,696.36

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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.