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Finding the Fourth Proportional to 30,416.28, 41,972.49 and 16,986.90

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Solution

The fourth proportional to 30,416.28, 41,972.49 and 16,986.90 is: 23,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.28 : 41,972.49 = 16,986.90 : x
  2. Step 2: Convert to fraction form
    30,416.28/41,972.49 = 16,986.90/x
  3. Step 3: Cross multiply
    30,416.28x = 41,972.49 × 16,986.90
  4. Step 4: Simplify right side
    30,416.28x = 712,982,490.38
  5. Step 5: Solve for x
    x = 712,982,490.38/30,416.28
  6. Step 6: Final answer
    x = 23,440.82

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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.