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Finding the Fourth Proportional to 77,674.53, 116,511.76 and 33,272.49

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Solution

The fourth proportional to 77,674.53, 116,511.76 and 33,272.49 is: 49,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,674.53 : 116,511.76 = 33,272.49 : x
  2. Step 2: Convert to fraction form
    77,674.53/116,511.76 = 33,272.49/x
  3. Step 3: Cross multiply
    77,674.53x = 116,511.76 × 33,272.49
  4. Step 4: Simplify right side
    77,674.53x = 3,876,636,369.48
  5. Step 5: Solve for x
    x = 3,876,636,369.48/77,674.53
  6. Step 6: Final answer
    x = 49,908.72

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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.