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Finding the Fourth Proportional to 29,978.12, 41,369.87 and 16,549.39

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Solution

The fourth proportional to 29,978.12, 41,369.87 and 16,549.39 is: 22,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.12 : 41,369.87 = 16,549.39 : x
  2. Step 2: Convert to fraction form
    29,978.12/41,369.87 = 16,549.39/x
  3. Step 3: Cross multiply
    29,978.12x = 41,369.87 × 16,549.39
  4. Step 4: Simplify right side
    29,978.12x = 684,646,112.88
  5. Step 5: Solve for x
    x = 684,646,112.88/29,978.12
  6. Step 6: Final answer
    x = 22,838.19

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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.