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Finding the Fourth Proportional to 30,930.82, 42,684.81 and 16,783.78

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Solution

The fourth proportional to 30,930.82, 42,684.81 and 16,783.78 is: 23,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.82 : 42,684.81 = 16,783.78 : x
  2. Step 2: Convert to fraction form
    30,930.82/42,684.81 = 16,783.78/x
  3. Step 3: Cross multiply
    30,930.82x = 42,684.81 × 16,783.78
  4. Step 4: Simplify right side
    30,930.82x = 716,412,460.38
  5. Step 5: Solve for x
    x = 716,412,460.38/30,930.82
  6. Step 6: Final answer
    x = 23,161.77

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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.