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Finding the Fourth Proportional to 50,757.94, 76,142 and 17,473.60

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Solution

The fourth proportional to 50,757.94, 76,142 and 17,473.60 is: 26,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,757.94 : 76,142 = 17,473.60 : x
  2. Step 2: Convert to fraction form
    50,757.94/76,142 = 17,473.60/x
  3. Step 3: Cross multiply
    50,757.94x = 76,142 × 17,473.60
  4. Step 4: Simplify right side
    50,757.94x = 1,330,474,851.20
  5. Step 5: Solve for x
    x = 1,330,474,851.20/50,757.94
  6. Step 6: Final answer
    x = 26,212.15

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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.