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Finding the Fourth Proportional to 53,708.67, 74,115.45 and 29,836.80

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Solution

The fourth proportional to 53,708.67, 74,115.45 and 29,836.80 is: 41,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,708.67 : 74,115.45 = 29,836.80 : x
  2. Step 2: Convert to fraction form
    53,708.67/74,115.45 = 29,836.80/x
  3. Step 3: Cross multiply
    53,708.67x = 74,115.45 × 29,836.80
  4. Step 4: Simplify right side
    53,708.67x = 2,211,367,858.56
  5. Step 5: Solve for x
    x = 2,211,367,858.56/53,708.67
  6. Step 6: Final answer
    x = 41,173.39

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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.