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Finding the Fourth Proportional to 74,082.82, 102,230.37 and 40,542.34

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Solution

The fourth proportional to 74,082.82, 102,230.37 and 40,542.34 is: 55,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,082.82 : 102,230.37 = 40,542.34 : x
  2. Step 2: Convert to fraction form
    74,082.82/102,230.37 = 40,542.34/x
  3. Step 3: Cross multiply
    74,082.82x = 102,230.37 × 40,542.34
  4. Step 4: Simplify right side
    74,082.82x = 4,144,658,418.87
  5. Step 5: Solve for x
    x = 4,144,658,418.87/74,082.82
  6. Step 6: Final answer
    x = 55,946.28

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