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Finding the Fourth Proportional to 30,129.77, 41,581.56 and 16,705.23

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Solution

The fourth proportional to 30,129.77, 41,581.56 and 16,705.23 is: 23,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.77 : 41,581.56 = 16,705.23 : x
  2. Step 2: Convert to fraction form
    30,129.77/41,581.56 = 16,705.23/x
  3. Step 3: Cross multiply
    30,129.77x = 41,581.56 × 16,705.23
  4. Step 4: Simplify right side
    30,129.77x = 694,629,523.56
  5. Step 5: Solve for x
    x = 694,629,523.56/30,129.77
  6. Step 6: Final answer
    x = 23,054.59

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