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Finding the Fourth Proportional to 30,314.26, 41,840.13 and 20,372.50

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Solution

The fourth proportional to 30,314.26, 41,840.13 and 20,372.50 is: 28,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.26 : 41,840.13 = 20,372.50 : x
  2. Step 2: Convert to fraction form
    30,314.26/41,840.13 = 20,372.50/x
  3. Step 3: Cross multiply
    30,314.26x = 41,840.13 × 20,372.50
  4. Step 4: Simplify right side
    30,314.26x = 852,388,048.43
  5. Step 5: Solve for x
    x = 852,388,048.43/30,314.26
  6. Step 6: Final answer
    x = 28,118.39

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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.