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Finding the Fourth Proportional to 30,378.08, 41,920.80 and 17,811.20

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Solution

The fourth proportional to 30,378.08, 41,920.80 and 17,811.20 is: 24,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.08 : 41,920.80 = 17,811.20 : x
  2. Step 2: Convert to fraction form
    30,378.08/41,920.80 = 17,811.20/x
  3. Step 3: Cross multiply
    30,378.08x = 41,920.80 × 17,811.20
  4. Step 4: Simplify right side
    30,378.08x = 746,659,752.96
  5. Step 5: Solve for x
    x = 746,659,752.96/30,378.08
  6. Step 6: Final answer
    x = 24,578.90

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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.