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Finding the Fourth Proportional to 30,847, 42,549.72 and 22,772.40

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Solution

The fourth proportional to 30,847, 42,549.72 and 22,772.40 is: 31,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847 : 42,549.72 = 22,772.40 : x
  2. Step 2: Convert to fraction form
    30,847/42,549.72 = 22,772.40/x
  3. Step 3: Cross multiply
    30,847x = 42,549.72 × 22,772.40
  4. Step 4: Simplify right side
    30,847x = 968,959,243.73
  5. Step 5: Solve for x
    x = 968,959,243.73/30,847
  6. Step 6: Final answer
    x = 31,411.78

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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.