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Finding the Fourth Proportional to 53,729.89, 74,145.76 and 29,855.95

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Solution

The fourth proportional to 53,729.89, 74,145.76 and 29,855.95 is: 41,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,729.89 : 74,145.76 = 29,855.95 : x
  2. Step 2: Convert to fraction form
    53,729.89/74,145.76 = 29,855.95/x
  3. Step 3: Cross multiply
    53,729.89x = 74,145.76 × 29,855.95
  4. Step 4: Simplify right side
    53,729.89x = 2,213,691,843.27
  5. Step 5: Solve for x
    x = 2,213,691,843.27/53,729.89
  6. Step 6: Final answer
    x = 41,200.38

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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.