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Finding the Fourth Proportional to 29,642.57, 40,921.61 and 22,912.97

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Solution

The fourth proportional to 29,642.57, 40,921.61 and 22,912.97 is: 31,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.57 : 40,921.61 = 22,912.97 : x
  2. Step 2: Convert to fraction form
    29,642.57/40,921.61 = 22,912.97/x
  3. Step 3: Cross multiply
    29,642.57x = 40,921.61 × 22,912.97
  4. Step 4: Simplify right side
    29,642.57x = 937,635,622.28
  5. Step 5: Solve for x
    x = 937,635,622.28/29,642.57
  6. Step 6: Final answer
    x = 31,631.39

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1.5x scale

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.