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Finding the Fourth Proportional to 53,783.25, 74,092.41 and 37,620.38

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Solution

The fourth proportional to 53,783.25, 74,092.41 and 37,620.38 is: 51,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,783.25 : 74,092.41 = 37,620.38 : x
  2. Step 2: Convert to fraction form
    53,783.25/74,092.41 = 37,620.38/x
  3. Step 3: Cross multiply
    53,783.25x = 74,092.41 × 37,620.38
  4. Step 4: Simplify right side
    53,783.25x = 2,787,384,248.85
  5. Step 5: Solve for x
    x = 2,787,384,248.85/53,783.25
  6. Step 6: Final answer
    x = 51,826.25

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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.