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Finding the Fourth Proportional to 76,200.75, 114,301.53 and 20,796.75

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Solution

The fourth proportional to 76,200.75, 114,301.53 and 20,796.75 is: 31,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200.75 : 114,301.53 = 20,796.75 : x
  2. Step 2: Convert to fraction form
    76,200.75/114,301.53 = 20,796.75/x
  3. Step 3: Cross multiply
    76,200.75x = 114,301.53 × 20,796.75
  4. Step 4: Simplify right side
    76,200.75x = 2,377,100,344.03
  5. Step 5: Solve for x
    x = 2,377,100,344.03/76,200.75
  6. Step 6: Final answer
    x = 31,195.24

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1.5x scale

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.