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Finding the Fourth Proportional to 29,978.24, 41,371.12 and 16,550.08

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Solution

The fourth proportional to 29,978.24, 41,371.12 and 16,550.08 is: 22,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.24 : 41,371.12 = 16,550.08 : x
  2. Step 2: Convert to fraction form
    29,978.24/41,371.12 = 16,550.08/x
  3. Step 3: Cross multiply
    29,978.24x = 41,371.12 × 16,550.08
  4. Step 4: Simplify right side
    29,978.24x = 684,695,345.69
  5. Step 5: Solve for x
    x = 684,695,345.69/29,978.24
  6. Step 6: Final answer
    x = 22,839.74

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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.