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Finding the Fourth Proportional to 29,014.48, 40,043.22 and 17,080.78

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Solution

The fourth proportional to 29,014.48, 40,043.22 and 17,080.78 is: 23,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,014.48 : 40,043.22 = 17,080.78 : x
  2. Step 2: Convert to fraction form
    29,014.48/40,043.22 = 17,080.78/x
  3. Step 3: Cross multiply
    29,014.48x = 40,043.22 × 17,080.78
  4. Step 4: Simplify right side
    29,014.48x = 683,969,431.31
  5. Step 5: Solve for x
    x = 683,969,431.31/29,014.48
  6. Step 6: Final answer
    x = 23,573.38

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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.