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Finding the Fourth Proportional to 57,004.20, 85,506.30 and 37,977.30

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Solution

The fourth proportional to 57,004.20, 85,506.30 and 37,977.30 is: 56,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,004.20 : 85,506.30 = 37,977.30 : x
  2. Step 2: Convert to fraction form
    57,004.20/85,506.30 = 37,977.30/x
  3. Step 3: Cross multiply
    57,004.20x = 85,506.30 × 37,977.30
  4. Step 4: Simplify right side
    57,004.20x = 3,247,298,406.99
  5. Step 5: Solve for x
    x = 3,247,298,406.99/57,004.20
  6. Step 6: Final answer
    x = 56,965.95

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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.