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Finding the Fourth Proportional to 67,819.27, 101,708.12 and 46,893.78

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Solution

The fourth proportional to 67,819.27, 101,708.12 and 46,893.78 is: 70,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,819.27 : 101,708.12 = 46,893.78 : x
  2. Step 2: Convert to fraction form
    67,819.27/101,708.12 = 46,893.78/x
  3. Step 3: Cross multiply
    67,819.27x = 101,708.12 × 46,893.78
  4. Step 4: Simplify right side
    67,819.27x = 4,769,478,203.49
  5. Step 5: Solve for x
    x = 4,769,478,203.49/67,819.27
  6. Step 6: Final answer
    x = 70,326.30

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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.