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Finding the Fourth Proportional to 76,334.85, 114,503.25 and 20,174.48

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Solution

The fourth proportional to 76,334.85, 114,503.25 and 20,174.48 is: 30,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,334.85 : 114,503.25 = 20,174.48 : x
  2. Step 2: Convert to fraction form
    76,334.85/114,503.25 = 20,174.48/x
  3. Step 3: Cross multiply
    76,334.85x = 114,503.25 × 20,174.48
  4. Step 4: Simplify right side
    76,334.85x = 2,310,043,055.50
  5. Step 5: Solve for x
    x = 2,310,043,055.50/76,334.85
  6. Step 6: Final answer
    x = 30,261.97

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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.