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Finding the Fourth Proportional to 77,551.74, 106,994.15 and 50,709.96

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Solution

The fourth proportional to 77,551.74, 106,994.15 and 50,709.96 is: 69,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,551.74 : 106,994.15 = 50,709.96 : x
  2. Step 2: Convert to fraction form
    77,551.74/106,994.15 = 50,709.96/x
  3. Step 3: Cross multiply
    77,551.74x = 106,994.15 × 50,709.96
  4. Step 4: Simplify right side
    77,551.74x = 5,425,669,003.35
  5. Step 5: Solve for x
    x = 5,425,669,003.35/77,551.74
  6. Step 6: Final answer
    x = 69,961.92

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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.