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Finding the Fourth Proportional to 74,288.52, 102,517.29 and 40,296.38

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Solution

The fourth proportional to 74,288.52, 102,517.29 and 40,296.38 is: 55,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,288.52 : 102,517.29 = 40,296.38 : x
  2. Step 2: Convert to fraction form
    74,288.52/102,517.29 = 40,296.38/x
  3. Step 3: Cross multiply
    74,288.52x = 102,517.29 × 40,296.38
  4. Step 4: Simplify right side
    74,288.52x = 4,131,075,161.82
  5. Step 5: Solve for x
    x = 4,131,075,161.82/74,288.52
  6. Step 6: Final answer
    x = 55,608.53

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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.