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Finding the Fourth Proportional to 30,891.46, 46,337.44 and 20,226.81

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Solution

The fourth proportional to 30,891.46, 46,337.44 and 20,226.81 is: 30,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.46 : 46,337.44 = 20,226.81 : x
  2. Step 2: Convert to fraction form
    30,891.46/46,337.44 = 20,226.81/x
  3. Step 3: Cross multiply
    30,891.46x = 46,337.44 × 20,226.81
  4. Step 4: Simplify right side
    30,891.46x = 937,258,594.77
  5. Step 5: Solve for x
    x = 937,258,594.77/30,891.46
  6. Step 6: Final answer
    x = 30,340.38

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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.