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Finding the Fourth Proportional to 35,779.44, 49,375.44 and 19,647.06

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Solution

The fourth proportional to 35,779.44, 49,375.44 and 19,647.06 is: 27,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,779.44 : 49,375.44 = 19,647.06 : x
  2. Step 2: Convert to fraction form
    35,779.44/49,375.44 = 19,647.06/x
  3. Step 3: Cross multiply
    35,779.44x = 49,375.44 × 19,647.06
  4. Step 4: Simplify right side
    35,779.44x = 970,082,232.21
  5. Step 5: Solve for x
    x = 970,082,232.21/35,779.44
  6. Step 6: Final answer
    x = 27,112.84

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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.