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Finding the Fourth Proportional to 75,759.70, 113,638.80 and 29,012.57

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Solution

The fourth proportional to 75,759.70, 113,638.80 and 29,012.57 is: 43,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,759.70 : 113,638.80 = 29,012.57 : x
  2. Step 2: Convert to fraction form
    75,759.70/113,638.80 = 29,012.57/x
  3. Step 3: Cross multiply
    75,759.70x = 113,638.80 × 29,012.57
  4. Step 4: Simplify right side
    75,759.70x = 3,296,954,082.49
  5. Step 5: Solve for x
    x = 3,296,954,082.49/75,759.70
  6. Step 6: Final answer
    x = 43,518.57

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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.