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Finding the Fourth Proportional to 29,342, 40,491.24 and 16,765.94

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Solution

The fourth proportional to 29,342, 40,491.24 and 16,765.94 is: 23,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,342 : 40,491.24 = 16,765.94 : x
  2. Step 2: Convert to fraction form
    29,342/40,491.24 = 16,765.94/x
  3. Step 3: Cross multiply
    29,342x = 40,491.24 × 16,765.94
  4. Step 4: Simplify right side
    29,342x = 678,873,700.37
  5. Step 5: Solve for x
    x = 678,873,700.37/29,342
  6. Step 6: Final answer
    x = 23,136.59

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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.