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Finding the Fourth Proportional to 30,961.62, 42,729.66 and 22,466.34

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Solution

The fourth proportional to 30,961.62, 42,729.66 and 22,466.34 is: 31,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.62 : 42,729.66 = 22,466.34 : x
  2. Step 2: Convert to fraction form
    30,961.62/42,729.66 = 22,466.34/x
  3. Step 3: Cross multiply
    30,961.62x = 42,729.66 × 22,466.34
  4. Step 4: Simplify right side
    30,961.62x = 959,979,069.64
  5. Step 5: Solve for x
    x = 959,979,069.64/30,961.62
  6. Step 6: Final answer
    x = 31,005.45

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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.