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Finding the Fourth Proportional to 77,073.60, 106,361.20 and 43,082.08

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Solution

The fourth proportional to 77,073.60, 106,361.20 and 43,082.08 is: 59,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.60 : 106,361.20 = 43,082.08 : x
  2. Step 2: Convert to fraction form
    77,073.60/106,361.20 = 43,082.08/x
  3. Step 3: Cross multiply
    77,073.60x = 106,361.20 × 43,082.08
  4. Step 4: Simplify right side
    77,073.60x = 4,582,261,727.30
  5. Step 5: Solve for x
    x = 4,582,261,727.30/77,073.60
  6. Step 6: Final answer
    x = 59,453.06

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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.