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Finding the Fourth Proportional to 74,082.84, 102,236.76 and 40,548.84

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Solution

The fourth proportional to 74,082.84, 102,236.76 and 40,548.84 is: 55,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,082.84 : 102,236.76 = 40,548.84 : x
  2. Step 2: Convert to fraction form
    74,082.84/102,236.76 = 40,548.84/x
  3. Step 3: Cross multiply
    74,082.84x = 102,236.76 × 40,548.84
  4. Step 4: Simplify right side
    74,082.84x = 4,145,582,023.36
  5. Step 5: Solve for x
    x = 4,145,582,023.36/74,082.84
  6. Step 6: Final answer
    x = 55,958.74

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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.