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Finding the Fourth Proportional to 30,221.74, 41,705.17 and 16,792.64

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Solution

The fourth proportional to 30,221.74, 41,705.17 and 16,792.64 is: 23,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.74 : 41,705.17 = 16,792.64 : x
  2. Step 2: Convert to fraction form
    30,221.74/41,705.17 = 16,792.64/x
  3. Step 3: Cross multiply
    30,221.74x = 41,705.17 × 16,792.64
  4. Step 4: Simplify right side
    30,221.74x = 700,339,905.95
  5. Step 5: Solve for x
    x = 700,339,905.95/30,221.74
  6. Step 6: Final answer
    x = 23,173.38

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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.