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Finding the Fourth Proportional to 67,296, 100,944 and 37,328.48

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Solution

The fourth proportional to 67,296, 100,944 and 37,328.48 is: 55,992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296 : 100,944 = 37,328.48 : x
  2. Step 2: Convert to fraction form
    67,296/100,944 = 37,328.48/x
  3. Step 3: Cross multiply
    67,296x = 100,944 × 37,328.48
  4. Step 4: Simplify right side
    67,296x = 3,768,086,085.12
  5. Step 5: Solve for x
    x = 3,768,086,085.12/67,296
  6. Step 6: Final answer
    x = 55,992.72

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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.