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Finding the Fourth Proportional to 30,400.31, 41,951.62 and 16,971.19

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Solution

The fourth proportional to 30,400.31, 41,951.62 and 16,971.19 is: 23,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.31 : 41,951.62 = 16,971.19 : x
  2. Step 2: Convert to fraction form
    30,400.31/41,951.62 = 16,971.19/x
  3. Step 3: Cross multiply
    30,400.31x = 41,951.62 × 16,971.19
  4. Step 4: Simplify right side
    30,400.31x = 711,968,830.16
  5. Step 5: Solve for x
    x = 711,968,830.16/30,400.31
  6. Step 6: Final answer
    x = 23,419.79

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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.