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Finding the Fourth Proportional to 77,551.65, 106,994.02 and 50,709.87

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Solution

The fourth proportional to 77,551.65, 106,994.02 and 50,709.87 is: 69,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,551.65 : 106,994.02 = 50,709.87 : x
  2. Step 2: Convert to fraction form
    77,551.65/106,994.02 = 50,709.87/x
  3. Step 3: Cross multiply
    77,551.65x = 106,994.02 × 50,709.87
  4. Step 4: Simplify right side
    77,551.65x = 5,425,652,844.98
  5. Step 5: Solve for x
    x = 5,425,652,844.98/77,551.65
  6. Step 6: Final answer
    x = 69,961.80

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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.