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Finding the Fourth Proportional to 75,943.76, 104,803.80 and 41,954

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Solution

The fourth proportional to 75,943.76, 104,803.80 and 41,954 is: 57,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,943.76 : 104,803.80 = 41,954 : x
  2. Step 2: Convert to fraction form
    75,943.76/104,803.80 = 41,954/x
  3. Step 3: Cross multiply
    75,943.76x = 104,803.80 × 41,954
  4. Step 4: Simplify right side
    75,943.76x = 4,396,938,625.20
  5. Step 5: Solve for x
    x = 4,396,938,625.20/75,943.76
  6. Step 6: Final answer
    x = 57,897.30

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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.