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Finding the Fourth Proportional to 29,668.46, 40,929.44 and 17,725.82

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Solution

The fourth proportional to 29,668.46, 40,929.44 and 17,725.82 is: 24,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668.46 : 40,929.44 = 17,725.82 : x
  2. Step 2: Convert to fraction form
    29,668.46/40,929.44 = 17,725.82/x
  3. Step 3: Cross multiply
    29,668.46x = 40,929.44 × 17,725.82
  4. Step 4: Simplify right side
    29,668.46x = 725,507,886.14
  5. Step 5: Solve for x
    x = 725,507,886.14/29,668.46
  6. Step 6: Final answer
    x = 24,453.84

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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.