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Finding the Fourth Proportional to 75,041, 103,556.64 and 41,507

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Solution

The fourth proportional to 75,041, 103,556.64 and 41,507 is: 57,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,041 : 103,556.64 = 41,507 : x
  2. Step 2: Convert to fraction form
    75,041/103,556.64 = 41,507/x
  3. Step 3: Cross multiply
    75,041x = 103,556.64 × 41,507
  4. Step 4: Simplify right side
    75,041x = 4,298,325,456.48
  5. Step 5: Solve for x
    x = 4,298,325,456.48/75,041
  6. Step 6: Final answer
    x = 57,279.69

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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.