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Finding the Fourth Proportional to 76,797, 106,015.38 and 54,154.44

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Solution

The fourth proportional to 76,797, 106,015.38 and 54,154.44 is: 74,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797 : 106,015.38 = 54,154.44 : x
  2. Step 2: Convert to fraction form
    76,797/106,015.38 = 54,154.44/x
  3. Step 3: Cross multiply
    76,797x = 106,015.38 × 54,154.44
  4. Step 4: Simplify right side
    76,797x = 5,741,203,535.29
  5. Step 5: Solve for x
    x = 5,741,203,535.29/76,797
  6. Step 6: Final answer
    x = 74,758.17

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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.