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Finding the Fourth Proportional to 69,203.56, 95,401.38 and 49,297

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Solution

The fourth proportional to 69,203.56, 95,401.38 and 49,297 is: 67,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,203.56 : 95,401.38 = 49,297 : x
  2. Step 2: Convert to fraction form
    69,203.56/95,401.38 = 49,297/x
  3. Step 3: Cross multiply
    69,203.56x = 95,401.38 × 49,297
  4. Step 4: Simplify right side
    69,203.56x = 4,703,001,829.86
  5. Step 5: Solve for x
    x = 4,703,001,829.86/69,203.56
  6. Step 6: Final answer
    x = 67,958.96

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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.