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Finding the Fourth Proportional to 29,408.31, 40,584.17 and 15,980.33

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Solution

The fourth proportional to 29,408.31, 40,584.17 and 15,980.33 is: 22,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408.31 : 40,584.17 = 15,980.33 : x
  2. Step 2: Convert to fraction form
    29,408.31/40,584.17 = 15,980.33/x
  3. Step 3: Cross multiply
    29,408.31x = 40,584.17 × 15,980.33
  4. Step 4: Simplify right side
    29,408.31x = 648,548,429.38
  5. Step 5: Solve for x
    x = 648,548,429.38/29,408.31
  6. Step 6: Final answer
    x = 22,053.24

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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.