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Finding the Fourth Proportional to 97,906.50, 146,859.86 and 26,829.74

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Solution

The fourth proportional to 97,906.50, 146,859.86 and 26,829.74 is: 40,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,906.50 : 146,859.86 = 26,829.74 : x
  2. Step 2: Convert to fraction form
    97,906.50/146,859.86 = 26,829.74/x
  3. Step 3: Cross multiply
    97,906.50x = 146,859.86 × 26,829.74
  4. Step 4: Simplify right side
    97,906.50x = 3,940,211,860.24
  5. Step 5: Solve for x
    x = 3,940,211,860.24/97,906.50
  6. Step 6: Final answer
    x = 40,244.64

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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.