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Finding the Fourth Proportional to 34,414.88, 47,524.80 and 22,336.16

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Solution

The fourth proportional to 34,414.88, 47,524.80 and 22,336.16 is: 30,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.88 : 47,524.80 = 22,336.16 : x
  2. Step 2: Convert to fraction form
    34,414.88/47,524.80 = 22,336.16/x
  3. Step 3: Cross multiply
    34,414.88x = 47,524.80 × 22,336.16
  4. Step 4: Simplify right side
    34,414.88x = 1,061,521,536.77
  5. Step 5: Solve for x
    x = 1,061,521,536.77/34,414.88
  6. Step 6: Final answer
    x = 30,844.84

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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.