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Finding the Fourth Proportional to 38,696.27, 53,339.11 and 30,506.49

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Solution

The fourth proportional to 38,696.27, 53,339.11 and 30,506.49 is: 42,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.27 : 53,339.11 = 30,506.49 : x
  2. Step 2: Convert to fraction form
    38,696.27/53,339.11 = 30,506.49/x
  3. Step 3: Cross multiply
    38,696.27x = 53,339.11 × 30,506.49
  4. Step 4: Simplify right side
    38,696.27x = 1,627,188,949.56
  5. Step 5: Solve for x
    x = 1,627,188,949.56/38,696.27
  6. Step 6: Final answer
    x = 42,050.28

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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.