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Finding the Fourth Proportional to 46,092.38, 63,627.09 and 30,993.80

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Solution

The fourth proportional to 46,092.38, 63,627.09 and 30,993.80 is: 42,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,092.38 : 63,627.09 = 30,993.80 : x
  2. Step 2: Convert to fraction form
    46,092.38/63,627.09 = 30,993.80/x
  3. Step 3: Cross multiply
    46,092.38x = 63,627.09 × 30,993.80
  4. Step 4: Simplify right side
    46,092.38x = 1,972,045,302.04
  5. Step 5: Solve for x
    x = 1,972,045,302.04/46,092.38
  6. Step 6: Final answer
    x = 42,784.63

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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.