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Finding the Fourth Proportional to 66,193, 91,346.66 and 36,385

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Solution

The fourth proportional to 66,193, 91,346.66 and 36,385 is: 50,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,193 : 91,346.66 = 36,385 : x
  2. Step 2: Convert to fraction form
    66,193/91,346.66 = 36,385/x
  3. Step 3: Cross multiply
    66,193x = 91,346.66 × 36,385
  4. Step 4: Simplify right side
    66,193x = 3,323,648,224.10
  5. Step 5: Solve for x
    x = 3,323,648,224.10/66,193
  6. Step 6: Final answer
    x = 50,211.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.