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Finding the Fourth Proportional to 53,650.38, 74,036.11 and 29,776.44

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Solution

The fourth proportional to 53,650.38, 74,036.11 and 29,776.44 is: 41,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,650.38 : 74,036.11 = 29,776.44 : x
  2. Step 2: Convert to fraction form
    53,650.38/74,036.11 = 29,776.44/x
  3. Step 3: Cross multiply
    53,650.38x = 74,036.11 × 29,776.44
  4. Step 4: Simplify right side
    53,650.38x = 2,204,531,787.25
  5. Step 5: Solve for x
    x = 2,204,531,787.25/53,650.38
  6. Step 6: Final answer
    x = 41,090.70

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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.