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Finding the Fourth Proportional to 30,406.38, 41,949.05 and 19,071.24

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Solution

The fourth proportional to 30,406.38, 41,949.05 and 19,071.24 is: 26,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.38 : 41,949.05 = 19,071.24 : x
  2. Step 2: Convert to fraction form
    30,406.38/41,949.05 = 19,071.24/x
  3. Step 3: Cross multiply
    30,406.38x = 41,949.05 × 19,071.24
  4. Step 4: Simplify right side
    30,406.38x = 800,020,400.32
  5. Step 5: Solve for x
    x = 800,020,400.32/30,406.38
  6. Step 6: Final answer
    x = 26,310.94

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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.