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Finding the Fourth Proportional to 40,380.32, 60,578.59 and 14,078

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Solution

The fourth proportional to 40,380.32, 60,578.59 and 14,078 is: 21,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,380.32 : 60,578.59 = 14,078 : x
  2. Step 2: Convert to fraction form
    40,380.32/60,578.59 = 14,078/x
  3. Step 3: Cross multiply
    40,380.32x = 60,578.59 × 14,078
  4. Step 4: Simplify right side
    40,380.32x = 852,825,390.02
  5. Step 5: Solve for x
    x = 852,825,390.02/40,380.32
  6. Step 6: Final answer
    x = 21,119.83

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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.