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Finding the Fourth Proportional to 77,697.84, 116,546.82 and 33,295.80

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Solution

The fourth proportional to 77,697.84, 116,546.82 and 33,295.80 is: 49,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,697.84 : 116,546.82 = 33,295.80 : x
  2. Step 2: Convert to fraction form
    77,697.84/116,546.82 = 33,295.80/x
  3. Step 3: Cross multiply
    77,697.84x = 116,546.82 × 33,295.80
  4. Step 4: Simplify right side
    77,697.84x = 3,880,519,609.36
  5. Step 5: Solve for x
    x = 3,880,519,609.36/77,697.84
  6. Step 6: Final answer
    x = 49,943.73

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1.5x scale

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.