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Finding the Fourth Proportional to 75,474.60, 113,082.30 and 49,165.80

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Solution

The fourth proportional to 75,474.60, 113,082.30 and 49,165.80 is: 73,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,474.60 : 113,082.30 = 49,165.80 : x
  2. Step 2: Convert to fraction form
    75,474.60/113,082.30 = 49,165.80/x
  3. Step 3: Cross multiply
    75,474.60x = 113,082.30 × 49,165.80
  4. Step 4: Simplify right side
    75,474.60x = 5,559,781,745.34
  5. Step 5: Solve for x
    x = 5,559,781,745.34/75,474.60
  6. Step 6: Final answer
    x = 73,664.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.