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Finding the Fourth Proportional to 36,830.31, 50,824.34 and 22,514.12

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Solution

The fourth proportional to 36,830.31, 50,824.34 and 22,514.12 is: 31,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,830.31 : 50,824.34 = 22,514.12 : x
  2. Step 2: Convert to fraction form
    36,830.31/50,824.34 = 22,514.12/x
  3. Step 3: Cross multiply
    36,830.31x = 50,824.34 × 22,514.12
  4. Step 4: Simplify right side
    36,830.31x = 1,144,264,922.99
  5. Step 5: Solve for x
    x = 1,144,264,922.99/36,830.31
  6. Step 6: Final answer
    x = 31,068.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.