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Finding the Fourth Proportional to 33,582.15, 50,386.86 and 16,947

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Solution

The fourth proportional to 33,582.15, 50,386.86 and 16,947 is: 25,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582.15 : 50,386.86 = 16,947 : x
  2. Step 2: Convert to fraction form
    33,582.15/50,386.86 = 16,947/x
  3. Step 3: Cross multiply
    33,582.15x = 50,386.86 × 16,947
  4. Step 4: Simplify right side
    33,582.15x = 853,906,116.42
  5. Step 5: Solve for x
    x = 853,906,116.42/33,582.15
  6. Step 6: Final answer
    x = 25,427.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.