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Finding the Fourth Proportional to 48,719.70, 73,082.34 and 13,662.06

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Solution

The fourth proportional to 48,719.70, 73,082.34 and 13,662.06 is: 20,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,719.70 : 73,082.34 = 13,662.06 : x
  2. Step 2: Convert to fraction form
    48,719.70/73,082.34 = 13,662.06/x
  3. Step 3: Cross multiply
    48,719.70x = 73,082.34 × 13,662.06
  4. Step 4: Simplify right side
    48,719.70x = 998,455,314.02
  5. Step 5: Solve for x
    x = 998,455,314.02/48,719.70
  6. Step 6: Final answer
    x = 20,493.87

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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.