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Finding the Fourth Proportional to 50,850, 70,173 and 29,629.26

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Solution

The fourth proportional to 50,850, 70,173 and 29,629.26 is: 40,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,850 : 70,173 = 29,629.26 : x
  2. Step 2: Convert to fraction form
    50,850/70,173 = 29,629.26/x
  3. Step 3: Cross multiply
    50,850x = 70,173 × 29,629.26
  4. Step 4: Simplify right side
    50,850x = 2,079,174,061.98
  5. Step 5: Solve for x
    x = 2,079,174,061.98/50,850
  6. Step 6: Final answer
    x = 40,888.38

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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.