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Finding the Fourth Proportional to 30,400.83, 41,951.07 and 16,971.39

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Solution

The fourth proportional to 30,400.83, 41,951.07 and 16,971.39 is: 23,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.83 : 41,951.07 = 16,971.39 : x
  2. Step 2: Convert to fraction form
    30,400.83/41,951.07 = 16,971.39/x
  3. Step 3: Cross multiply
    30,400.83x = 41,951.07 × 16,971.39
  4. Step 4: Simplify right side
    30,400.83x = 711,967,969.89
  5. Step 5: Solve for x
    x = 711,967,969.89/30,400.83
  6. Step 6: Final answer
    x = 23,419.36

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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.