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Finding the Fourth Proportional to 67,048.26, 100,419.24 and 32,012.52

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Solution

The fourth proportional to 67,048.26, 100,419.24 and 32,012.52 is: 47,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,048.26 : 100,419.24 = 32,012.52 : x
  2. Step 2: Convert to fraction form
    67,048.26/100,419.24 = 32,012.52/x
  3. Step 3: Cross multiply
    67,048.26x = 100,419.24 × 32,012.52
  4. Step 4: Simplify right side
    67,048.26x = 3,214,672,928.88
  5. Step 5: Solve for x
    x = 3,214,672,928.88/67,048.26
  6. Step 6: Final answer
    x = 47,945.66

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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.