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Finding the Fourth Proportional to 29,720.54, 41,014.80 and 17,784.38

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Solution

The fourth proportional to 29,720.54, 41,014.80 and 17,784.38 is: 24,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720.54 : 41,014.80 = 17,784.38 : x
  2. Step 2: Convert to fraction form
    29,720.54/41,014.80 = 17,784.38/x
  3. Step 3: Cross multiply
    29,720.54x = 41,014.80 × 17,784.38
  4. Step 4: Simplify right side
    29,720.54x = 729,422,583.75
  5. Step 5: Solve for x
    x = 729,422,583.75/29,720.54
  6. Step 6: Final answer
    x = 24,542.71

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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.