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Finding the Fourth Proportional to 34,016, 46,942.08 and 19,112

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Solution

The fourth proportional to 34,016, 46,942.08 and 19,112 is: 26,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,016 : 46,942.08 = 19,112 : x
  2. Step 2: Convert to fraction form
    34,016/46,942.08 = 19,112/x
  3. Step 3: Cross multiply
    34,016x = 46,942.08 × 19,112
  4. Step 4: Simplify right side
    34,016x = 897,157,032.96
  5. Step 5: Solve for x
    x = 897,157,032.96/34,016
  6. Step 6: Final answer
    x = 26,374.56

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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.