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Finding the Fourth Proportional to 75,909.81, 104,756.37 and 41,918.25

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Solution

The fourth proportional to 75,909.81, 104,756.37 and 41,918.25 is: 57,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.81 : 104,756.37 = 41,918.25 : x
  2. Step 2: Convert to fraction form
    75,909.81/104,756.37 = 41,918.25/x
  3. Step 3: Cross multiply
    75,909.81x = 104,756.37 × 41,918.25
  4. Step 4: Simplify right side
    75,909.81x = 4,391,203,706.75
  5. Step 5: Solve for x
    x = 4,391,203,706.75/75,909.81
  6. Step 6: Final answer
    x = 57,847.64

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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.