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Finding the Fourth Proportional to 75,797.24, 113,696.58 and 29,039

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Solution

The fourth proportional to 75,797.24, 113,696.58 and 29,039 is: 43,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,797.24 : 113,696.58 = 29,039 : x
  2. Step 2: Convert to fraction form
    75,797.24/113,696.58 = 29,039/x
  3. Step 3: Cross multiply
    75,797.24x = 113,696.58 × 29,039
  4. Step 4: Simplify right side
    75,797.24x = 3,301,634,986.62
  5. Step 5: Solve for x
    x = 3,301,634,986.62/75,797.24
  6. Step 6: Final answer
    x = 43,558.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.