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Finding the Fourth Proportional to 74,082.63, 102,233.17 and 40,090.34

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Solution

The fourth proportional to 74,082.63, 102,233.17 and 40,090.34 is: 55,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,082.63 : 102,233.17 = 40,090.34 : x
  2. Step 2: Convert to fraction form
    74,082.63/102,233.17 = 40,090.34/x
  3. Step 3: Cross multiply
    74,082.63x = 102,233.17 × 40,090.34
  4. Step 4: Simplify right side
    74,082.63x = 4,098,561,933.19
  5. Step 5: Solve for x
    x = 4,098,561,933.19/74,082.63
  6. Step 6: Final answer
    x = 55,324.20

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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.