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Finding the Fourth Proportional to 30,992.37, 42,769.53 and 16,845.18

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Solution

The fourth proportional to 30,992.37, 42,769.53 and 16,845.18 is: 23,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.37 : 42,769.53 = 16,845.18 : x
  2. Step 2: Convert to fraction form
    30,992.37/42,769.53 = 16,845.18/x
  3. Step 3: Cross multiply
    30,992.37x = 42,769.53 × 16,845.18
  4. Step 4: Simplify right side
    30,992.37x = 720,460,431.37
  5. Step 5: Solve for x
    x = 720,460,431.37/30,992.37
  6. Step 6: Final answer
    x = 23,246.38

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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.