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Finding the Fourth Proportional to 30,078.50, 41,494.55 and 19,471.55

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Solution

The fourth proportional to 30,078.50, 41,494.55 and 19,471.55 is: 26,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.50 : 41,494.55 = 19,471.55 : x
  2. Step 2: Convert to fraction form
    30,078.50/41,494.55 = 19,471.55/x
  3. Step 3: Cross multiply
    30,078.50x = 41,494.55 × 19,471.55
  4. Step 4: Simplify right side
    30,078.50x = 807,962,900.22
  5. Step 5: Solve for x
    x = 807,962,900.22/30,078.50
  6. Step 6: Final answer
    x = 26,861.81

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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.