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Finding the Fourth Proportional to 29,238.72, 43,812 and 17,557.44

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Solution

The fourth proportional to 29,238.72, 43,812 and 17,557.44 is: 26,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238.72 : 43,812 = 17,557.44 : x
  2. Step 2: Convert to fraction form
    29,238.72/43,812 = 17,557.44/x
  3. Step 3: Cross multiply
    29,238.72x = 43,812 × 17,557.44
  4. Step 4: Simplify right side
    29,238.72x = 769,226,561.28
  5. Step 5: Solve for x
    x = 769,226,561.28/29,238.72
  6. Step 6: Final answer
    x = 26,308.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.