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Finding the Fourth Proportional to 29,978.48, 41,363.04 and 19,218.44

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Solution

The fourth proportional to 29,978.48, 41,363.04 and 19,218.44 is: 26,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.48 : 41,363.04 = 19,218.44 : x
  2. Step 2: Convert to fraction form
    29,978.48/41,363.04 = 19,218.44/x
  3. Step 3: Cross multiply
    29,978.48x = 41,363.04 × 19,218.44
  4. Step 4: Simplify right side
    29,978.48x = 794,933,102.46
  5. Step 5: Solve for x
    x = 794,933,102.46/29,978.48
  6. Step 6: Final answer
    x = 26,516.79

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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.