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Finding the Fourth Proportional to 30,266.40, 41,768.55 and 16,839.30

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Solution

The fourth proportional to 30,266.40, 41,768.55 and 16,839.30 is: 23,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.40 : 41,768.55 = 16,839.30 : x
  2. Step 2: Convert to fraction form
    30,266.40/41,768.55 = 16,839.30/x
  3. Step 3: Cross multiply
    30,266.40x = 41,768.55 × 16,839.30
  4. Step 4: Simplify right side
    30,266.40x = 703,353,144.02
  5. Step 5: Solve for x
    x = 703,353,144.02/30,266.40
  6. Step 6: Final answer
    x = 23,238.74

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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.