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Finding the Fourth Proportional to 30,846.94, 42,572.82 and 22,911.82

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Solution

The fourth proportional to 30,846.94, 42,572.82 and 22,911.82 is: 31,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.94 : 42,572.82 = 22,911.82 : x
  2. Step 2: Convert to fraction form
    30,846.94/42,572.82 = 22,911.82/x
  3. Step 3: Cross multiply
    30,846.94x = 42,572.82 × 22,911.82
  4. Step 4: Simplify right side
    30,846.94x = 975,420,788.73
  5. Step 5: Solve for x
    x = 975,420,788.73/30,846.94
  6. Step 6: Final answer
    x = 31,621.31

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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.