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Finding the Fourth Proportional to 50,914, 70,261.44 and 31,042

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Solution

The fourth proportional to 50,914, 70,261.44 and 31,042 is: 42,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,914 : 70,261.44 = 31,042 : x
  2. Step 2: Convert to fraction form
    50,914/70,261.44 = 31,042/x
  3. Step 3: Cross multiply
    50,914x = 70,261.44 × 31,042
  4. Step 4: Simplify right side
    50,914x = 2,181,055,620.48
  5. Step 5: Solve for x
    x = 2,181,055,620.48/50,914
  6. Step 6: Final answer
    x = 42,838.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.