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Finding the Fourth Proportional to 77,716.80, 107,200.80 and 50,846.40

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Solution

The fourth proportional to 77,716.80, 107,200.80 and 50,846.40 is: 70,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,716.80 : 107,200.80 = 50,846.40 : x
  2. Step 2: Convert to fraction form
    77,716.80/107,200.80 = 50,846.40/x
  3. Step 3: Cross multiply
    77,716.80x = 107,200.80 × 50,846.40
  4. Step 4: Simplify right side
    77,716.80x = 5,450,774,757.12
  5. Step 5: Solve for x
    x = 5,450,774,757.12/77,716.80
  6. Step 6: Final answer
    x = 70,136.38

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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.