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Finding the Fourth Proportional to 76,506.37, 114,759.36 and 20,346.48

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Solution

The fourth proportional to 76,506.37, 114,759.36 and 20,346.48 is: 30,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506.37 : 114,759.36 = 20,346.48 : x
  2. Step 2: Convert to fraction form
    76,506.37/114,759.36 = 20,346.48/x
  3. Step 3: Cross multiply
    76,506.37x = 114,759.36 × 20,346.48
  4. Step 4: Simplify right side
    76,506.37x = 2,334,949,023.05
  5. Step 5: Solve for x
    x = 2,334,949,023.05/76,506.37
  6. Step 6: Final answer
    x = 30,519.67

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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.