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Finding the Fourth Proportional to 29,622, 40,878.35 and 16,193.31

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Solution

The fourth proportional to 29,622, 40,878.35 and 16,193.31 is: 22,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,622 : 40,878.35 = 16,193.31 : x
  2. Step 2: Convert to fraction form
    29,622/40,878.35 = 16,193.31/x
  3. Step 3: Cross multiply
    29,622x = 40,878.35 × 16,193.31
  4. Step 4: Simplify right side
    29,622x = 661,955,793.84
  5. Step 5: Solve for x
    x = 661,955,793.84/29,622
  6. Step 6: Final answer
    x = 22,346.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.