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Finding the Fourth Proportional to 46,323.95, 69,578.90 and 27,640.44

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Solution

The fourth proportional to 46,323.95, 69,578.90 and 27,640.44 is: 41,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323.95 : 69,578.90 = 27,640.44 : x
  2. Step 2: Convert to fraction form
    46,323.95/69,578.90 = 27,640.44/x
  3. Step 3: Cross multiply
    46,323.95x = 69,578.90 × 27,640.44
  4. Step 4: Simplify right side
    46,323.95x = 1,923,191,272.51
  5. Step 5: Solve for x
    x = 1,923,191,272.51/46,323.95
  6. Step 6: Final answer
    x = 41,516.14

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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.