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Finding the Fourth Proportional to 30,578.40, 45,867.60 and 18,914.40

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Solution

The fourth proportional to 30,578.40, 45,867.60 and 18,914.40 is: 28,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.40 : 45,867.60 = 18,914.40 : x
  2. Step 2: Convert to fraction form
    30,578.40/45,867.60 = 18,914.40/x
  3. Step 3: Cross multiply
    30,578.40x = 45,867.60 × 18,914.40
  4. Step 4: Simplify right side
    30,578.40x = 867,558,133.44
  5. Step 5: Solve for x
    x = 867,558,133.44/30,578.40
  6. Step 6: Final answer
    x = 28,371.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.