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Finding the Fourth Proportional to 30,314.57, 41,834.63 and 18,378.41

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Solution

The fourth proportional to 30,314.57, 41,834.63 and 18,378.41 is: 25,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.57 : 41,834.63 = 18,378.41 : x
  2. Step 2: Convert to fraction form
    30,314.57/41,834.63 = 18,378.41/x
  3. Step 3: Cross multiply
    30,314.57x = 41,834.63 × 18,378.41
  4. Step 4: Simplify right side
    30,314.57x = 768,853,890.45
  5. Step 5: Solve for x
    x = 768,853,890.45/30,314.57
  6. Step 6: Final answer
    x = 25,362.52

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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.