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Finding the Fourth Proportional to 34,211.97, 47,232.45 and 22,736.16

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Solution

The fourth proportional to 34,211.97, 47,232.45 and 22,736.16 is: 31,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211.97 : 47,232.45 = 22,736.16 : x
  2. Step 2: Convert to fraction form
    34,211.97/47,232.45 = 22,736.16/x
  3. Step 3: Cross multiply
    34,211.97x = 47,232.45 × 22,736.16
  4. Step 4: Simplify right side
    34,211.97x = 1,073,884,540.39
  5. Step 5: Solve for x
    x = 1,073,884,540.39/34,211.97
  6. Step 6: Final answer
    x = 31,389.15

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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.