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Finding the Fourth Proportional to 75,429.29, 104,077.69 and 43,173.78

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Solution

The fourth proportional to 75,429.29, 104,077.69 and 43,173.78 is: 59,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,429.29 : 104,077.69 = 43,173.78 : x
  2. Step 2: Convert to fraction form
    75,429.29/104,077.69 = 43,173.78/x
  3. Step 3: Cross multiply
    75,429.29x = 104,077.69 × 43,173.78
  4. Step 4: Simplify right side
    75,429.29x = 4,493,426,770.58
  5. Step 5: Solve for x
    x = 4,493,426,770.58/75,429.29
  6. Step 6: Final answer
    x = 59,571.38

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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.