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Finding the Fourth Proportional to 76,049.08, 113,978.58 and 36,595.60

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Solution

The fourth proportional to 76,049.08, 113,978.58 and 36,595.60 is: 54,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,049.08 : 113,978.58 = 36,595.60 : x
  2. Step 2: Convert to fraction form
    76,049.08/113,978.58 = 36,595.60/x
  3. Step 3: Cross multiply
    76,049.08x = 113,978.58 × 36,595.60
  4. Step 4: Simplify right side
    76,049.08x = 4,171,114,522.25
  5. Step 5: Solve for x
    x = 4,171,114,522.25/76,049.08
  6. Step 6: Final answer
    x = 54,847.67

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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.