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Finding the Fourth Proportional to 30,930.72, 42,684.48 and 16,783.54

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Solution

The fourth proportional to 30,930.72, 42,684.48 and 16,783.54 is: 23,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.72 : 42,684.48 = 16,783.54 : x
  2. Step 2: Convert to fraction form
    30,930.72/42,684.48 = 16,783.54/x
  3. Step 3: Cross multiply
    30,930.72x = 42,684.48 × 16,783.54
  4. Step 4: Simplify right side
    30,930.72x = 716,396,677.46
  5. Step 5: Solve for x
    x = 716,396,677.46/30,930.72
  6. Step 6: Final answer
    x = 23,161.33

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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.