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Finding the Fourth Proportional to 34,977, 48,268.74 and 20,073

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Solution

The fourth proportional to 34,977, 48,268.74 and 20,073 is: 27,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,977 : 48,268.74 = 20,073 : x
  2. Step 2: Convert to fraction form
    34,977/48,268.74 = 20,073/x
  3. Step 3: Cross multiply
    34,977x = 48,268.74 × 20,073
  4. Step 4: Simplify right side
    34,977x = 968,898,418.02
  5. Step 5: Solve for x
    x = 968,898,418.02/34,977
  6. Step 6: Final answer
    x = 27,701.02

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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.