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Finding the Fourth Proportional to 41,950, 57,881.46 and 30,625.66

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Solution

The fourth proportional to 41,950, 57,881.46 and 30,625.66 is: 42,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,950 : 57,881.46 = 30,625.66 : x
  2. Step 2: Convert to fraction form
    41,950/57,881.46 = 30,625.66/x
  3. Step 3: Cross multiply
    41,950x = 57,881.46 × 30,625.66
  4. Step 4: Simplify right side
    41,950x = 1,772,657,914.26
  5. Step 5: Solve for x
    x = 1,772,657,914.26/41,950
  6. Step 6: Final answer
    x = 42,256.45

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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.