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Finding the Fourth Proportional to 48,967.74, 67,135.39 and 48,082.01

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Solution

The fourth proportional to 48,967.74, 67,135.39 and 48,082.01 is: 65,921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,967.74 : 67,135.39 = 48,082.01 : x
  2. Step 2: Convert to fraction form
    48,967.74/67,135.39 = 48,082.01/x
  3. Step 3: Cross multiply
    48,967.74x = 67,135.39 × 48,082.01
  4. Step 4: Simplify right side
    48,967.74x = 3,228,004,493.33
  5. Step 5: Solve for x
    x = 3,228,004,493.33/48,967.74
  6. Step 6: Final answer
    x = 65,921.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.