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Finding the Fourth Proportional to 49,377, 73,920.09 and 30,596.68

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Solution

The fourth proportional to 49,377, 73,920.09 and 30,596.68 is: 45,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,377 : 73,920.09 = 30,596.68 : x
  2. Step 2: Convert to fraction form
    49,377/73,920.09 = 30,596.68/x
  3. Step 3: Cross multiply
    49,377x = 73,920.09 × 30,596.68
  4. Step 4: Simplify right side
    49,377x = 2,261,709,339.30
  5. Step 5: Solve for x
    x = 2,261,709,339.30/49,377
  6. Step 6: Final answer
    x = 45,804.92

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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.