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Finding the Fourth Proportional to 30,789.72, 42,489.09 and 17,360.46

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Solution

The fourth proportional to 30,789.72, 42,489.09 and 17,360.46 is: 23,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.72 : 42,489.09 = 17,360.46 : x
  2. Step 2: Convert to fraction form
    30,789.72/42,489.09 = 17,360.46/x
  3. Step 3: Cross multiply
    30,789.72x = 42,489.09 × 17,360.46
  4. Step 4: Simplify right side
    30,789.72x = 737,630,147.38
  5. Step 5: Solve for x
    x = 737,630,147.38/30,789.72
  6. Step 6: Final answer
    x = 23,957.03

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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.