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Finding the Fourth Proportional to 109,934, 164,790.24 and 43,348.32

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Solution

The fourth proportional to 109,934, 164,790.24 and 43,348.32 is: 64,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,934 : 164,790.24 = 43,348.32 : x
  2. Step 2: Convert to fraction form
    109,934/164,790.24 = 43,348.32/x
  3. Step 3: Cross multiply
    109,934x = 164,790.24 × 43,348.32
  4. Step 4: Simplify right side
    109,934x = 7,143,380,056.40
  5. Step 5: Solve for x
    x = 7,143,380,056.40/109,934
  6. Step 6: Final answer
    x = 64,978.81

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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.