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Finding the Fourth Proportional to 50,956.70, 76,435.11 and 17,676.77

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Solution

The fourth proportional to 50,956.70, 76,435.11 and 17,676.77 is: 26,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,956.70 : 76,435.11 = 17,676.77 : x
  2. Step 2: Convert to fraction form
    50,956.70/76,435.11 = 17,676.77/x
  3. Step 3: Cross multiply
    50,956.70x = 76,435.11 × 17,676.77
  4. Step 4: Simplify right side
    50,956.70x = 1,351,125,477.22
  5. Step 5: Solve for x
    x = 1,351,125,477.22/50,956.70
  6. Step 6: Final answer
    x = 26,515.17

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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.