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Finding the Fourth Proportional to 75,433, 104,100.80 and 41,899

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Solution

The fourth proportional to 75,433, 104,100.80 and 41,899 is: 57,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433 : 104,100.80 = 41,899 : x
  2. Step 2: Convert to fraction form
    75,433/104,100.80 = 41,899/x
  3. Step 3: Cross multiply
    75,433x = 104,100.80 × 41,899
  4. Step 4: Simplify right side
    75,433x = 4,361,719,419.20
  5. Step 5: Solve for x
    x = 4,361,719,419.20/75,433
  6. Step 6: Final answer
    x = 57,822.43

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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.