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Finding the Fourth Proportional to 30,775.68, 42,442.56 and 20,161.44

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Solution

The fourth proportional to 30,775.68, 42,442.56 and 20,161.44 is: 27,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.68 : 42,442.56 = 20,161.44 : x
  2. Step 2: Convert to fraction form
    30,775.68/42,442.56 = 20,161.44/x
  3. Step 3: Cross multiply
    30,775.68x = 42,442.56 × 20,161.44
  4. Step 4: Simplify right side
    30,775.68x = 855,703,126.89
  5. Step 5: Solve for x
    x = 855,703,126.89/30,775.68
  6. Step 6: Final answer
    x = 27,804.52

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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.