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Finding the Fourth Proportional to 50,967, 76,415.60 and 25,958.64

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Solution

The fourth proportional to 50,967, 76,415.60 and 25,958.64 is: 38,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,967 : 76,415.60 = 25,958.64 : x
  2. Step 2: Convert to fraction form
    50,967/76,415.60 = 25,958.64/x
  3. Step 3: Cross multiply
    50,967x = 76,415.60 × 25,958.64
  4. Step 4: Simplify right side
    50,967x = 1,983,645,050.78
  5. Step 5: Solve for x
    x = 1,983,645,050.78/50,967
  6. Step 6: Final answer
    x = 38,920.18

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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.