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Finding the Fourth Proportional to 109,452, 164,195.52 and 46,272.80

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Solution

The fourth proportional to 109,452, 164,195.52 and 46,272.80 is: 69,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,452 : 164,195.52 = 46,272.80 : x
  2. Step 2: Convert to fraction form
    109,452/164,195.52 = 46,272.80/x
  3. Step 3: Cross multiply
    109,452x = 164,195.52 × 46,272.80
  4. Step 4: Simplify right side
    109,452x = 7,597,786,457.86
  5. Step 5: Solve for x
    x = 7,597,786,457.86/109,452
  6. Step 6: Final answer
    x = 69,416.61

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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.