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Finding the Fourth Proportional to 30,134.53, 41,581.80 and 16,705.66

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Solution

The fourth proportional to 30,134.53, 41,581.80 and 16,705.66 is: 23,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,134.53 : 41,581.80 = 16,705.66 : x
  2. Step 2: Convert to fraction form
    30,134.53/41,581.80 = 16,705.66/x
  3. Step 3: Cross multiply
    30,134.53x = 41,581.80 × 16,705.66
  4. Step 4: Simplify right side
    30,134.53x = 694,651,309.03
  5. Step 5: Solve for x
    x = 694,651,309.03/30,134.53
  6. Step 6: Final answer
    x = 23,051.67

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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.