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Finding the Fourth Proportional to 30,992.91, 42,768.81 and 17,563.38

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Solution

The fourth proportional to 30,992.91, 42,768.81 and 17,563.38 is: 24,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.91 : 42,768.81 = 17,563.38 : x
  2. Step 2: Convert to fraction form
    30,992.91/42,768.81 = 17,563.38/x
  3. Step 3: Cross multiply
    30,992.91x = 42,768.81 × 17,563.38
  4. Step 4: Simplify right side
    30,992.91x = 751,164,862.18
  5. Step 5: Solve for x
    x = 751,164,862.18/30,992.91
  6. Step 6: Final answer
    x = 24,236.67

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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.