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Finding the Fourth Proportional to 29,771.19, 41,081.99 and 16,340.31

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Solution

The fourth proportional to 29,771.19, 41,081.99 and 16,340.31 is: 22,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771.19 : 41,081.99 = 16,340.31 : x
  2. Step 2: Convert to fraction form
    29,771.19/41,081.99 = 16,340.31/x
  3. Step 3: Cross multiply
    29,771.19x = 41,081.99 × 16,340.31
  4. Step 4: Simplify right side
    29,771.19x = 671,292,370.32
  5. Step 5: Solve for x
    x = 671,292,370.32/29,771.19
  6. Step 6: Final answer
    x = 22,548.39

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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.