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Finding the Fourth Proportional to 29,978.30, 41,371.97 and 16,549.52

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Solution

The fourth proportional to 29,978.30, 41,371.97 and 16,549.52 is: 22,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.30 : 41,371.97 = 16,549.52 : x
  2. Step 2: Convert to fraction form
    29,978.30/41,371.97 = 16,549.52/x
  3. Step 3: Cross multiply
    29,978.30x = 41,371.97 × 16,549.52
  4. Step 4: Simplify right side
    29,978.30x = 684,685,955.35
  5. Step 5: Solve for x
    x = 684,685,955.35/29,978.30
  6. Step 6: Final answer
    x = 22,839.38

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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.