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Finding the Fourth Proportional to 27,578.95, 41,367.61 and 16,410.90

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Solution

The fourth proportional to 27,578.95, 41,367.61 and 16,410.90 is: 24,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.95 : 41,367.61 = 16,410.90 : x
  2. Step 2: Convert to fraction form
    27,578.95/41,367.61 = 16,410.90/x
  3. Step 3: Cross multiply
    27,578.95x = 41,367.61 × 16,410.90
  4. Step 4: Simplify right side
    27,578.95x = 678,879,886.59
  5. Step 5: Solve for x
    x = 678,879,886.59/27,578.95
  6. Step 6: Final answer
    x = 24,615.87

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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.