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Finding the Fourth Proportional to 30,447.40, 41,855.97 and 26,182.76

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Solution

The fourth proportional to 30,447.40, 41,855.97 and 26,182.76 is: 35,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.40 : 41,855.97 = 26,182.76 : x
  2. Step 2: Convert to fraction form
    30,447.40/41,855.97 = 26,182.76/x
  3. Step 3: Cross multiply
    30,447.40x = 41,855.97 × 26,182.76
  4. Step 4: Simplify right side
    30,447.40x = 1,095,904,817.08
  5. Step 5: Solve for x
    x = 1,095,904,817.08/30,447.40
  6. Step 6: Final answer
    x = 35,993.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.