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Finding the Fourth Proportional to 30,847.94, 42,574.20 and 22,912.82

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Solution

The fourth proportional to 30,847.94, 42,574.20 and 22,912.82 is: 31,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.94 : 42,574.20 = 22,912.82 : x
  2. Step 2: Convert to fraction form
    30,847.94/42,574.20 = 22,912.82/x
  3. Step 3: Cross multiply
    30,847.94x = 42,574.20 × 22,912.82
  4. Step 4: Simplify right side
    30,847.94x = 975,494,981.24
  5. Step 5: Solve for x
    x = 975,494,981.24/30,847.94
  6. Step 6: Final answer
    x = 31,622.69

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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.