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Finding the Fourth Proportional to 57,309.40, 85,964.10 and 52,384.60

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Solution

The fourth proportional to 57,309.40, 85,964.10 and 52,384.60 is: 78,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.40 : 85,964.10 = 52,384.60 : x
  2. Step 2: Convert to fraction form
    57,309.40/85,964.10 = 52,384.60/x
  3. Step 3: Cross multiply
    57,309.40x = 85,964.10 × 52,384.60
  4. Step 4: Simplify right side
    57,309.40x = 4,503,194,992.86
  5. Step 5: Solve for x
    x = 4,503,194,992.86/57,309.40
  6. Step 6: Final answer
    x = 78,576.90

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Why These Related Problems?

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