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Finding the Fourth Proportional to 76,489.20, 114,744.60 and 23,893.20

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Solution

The fourth proportional to 76,489.20, 114,744.60 and 23,893.20 is: 35,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,489.20 : 114,744.60 = 23,893.20 : x
  2. Step 2: Convert to fraction form
    76,489.20/114,744.60 = 23,893.20/x
  3. Step 3: Cross multiply
    76,489.20x = 114,744.60 × 23,893.20
  4. Step 4: Simplify right side
    76,489.20x = 2,741,615,676.72
  5. Step 5: Solve for x
    x = 2,741,615,676.72/76,489.20
  6. Step 6: Final answer
    x = 35,843.17

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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.