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Finding the Fourth Proportional to 36,284.78, 50,075.40 and 20,370.32

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Solution

The fourth proportional to 36,284.78, 50,075.40 and 20,370.32 is: 28,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284.78 : 50,075.40 = 20,370.32 : x
  2. Step 2: Convert to fraction form
    36,284.78/50,075.40 = 20,370.32/x
  3. Step 3: Cross multiply
    36,284.78x = 50,075.40 × 20,370.32
  4. Step 4: Simplify right side
    36,284.78x = 1,020,051,922.13
  5. Step 5: Solve for x
    x = 1,020,051,922.13/36,284.78
  6. Step 6: Final answer
    x = 28,112.39

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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.