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Finding the Fourth Proportional to 53,649.38, 74,034.73 and 29,775.44

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Solution

The fourth proportional to 53,649.38, 74,034.73 and 29,775.44 is: 41,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,649.38 : 74,034.73 = 29,775.44 : x
  2. Step 2: Convert to fraction form
    53,649.38/74,034.73 = 29,775.44/x
  3. Step 3: Cross multiply
    53,649.38x = 74,034.73 × 29,775.44
  4. Step 4: Simplify right side
    53,649.38x = 2,204,416,661.03
  5. Step 5: Solve for x
    x = 2,204,416,661.03/53,649.38
  6. Step 6: Final answer
    x = 41,089.32

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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.