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Finding the Fourth Proportional to 29,343.72, 40,493.25 and 17,400

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Solution

The fourth proportional to 29,343.72, 40,493.25 and 17,400 is: 24,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,343.72 : 40,493.25 = 17,400 : x
  2. Step 2: Convert to fraction form
    29,343.72/40,493.25 = 17,400/x
  3. Step 3: Cross multiply
    29,343.72x = 40,493.25 × 17,400
  4. Step 4: Simplify right side
    29,343.72x = 704,582,550
  5. Step 5: Solve for x
    x = 704,582,550/29,343.72
  6. Step 6: Final answer
    x = 24,011.36

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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.