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Finding the Fourth Proportional to 61,647, 92,477.82 and 20,094

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Solution

The fourth proportional to 61,647, 92,477.82 and 20,094 is: 30,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,647 : 92,477.82 = 20,094 : x
  2. Step 2: Convert to fraction form
    61,647/92,477.82 = 20,094/x
  3. Step 3: Cross multiply
    61,647x = 92,477.82 × 20,094
  4. Step 4: Simplify right side
    61,647x = 1,858,249,315.08
  5. Step 5: Solve for x
    x = 1,858,249,315.08/61,647
  6. Step 6: Final answer
    x = 30,143.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.