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Finding the Fourth Proportional to 29,971.35, 41,359.32 and 16,542.36

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Solution

The fourth proportional to 29,971.35, 41,359.32 and 16,542.36 is: 22,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.35 : 41,359.32 = 16,542.36 : x
  2. Step 2: Convert to fraction form
    29,971.35/41,359.32 = 16,542.36/x
  3. Step 3: Cross multiply
    29,971.35x = 41,359.32 × 16,542.36
  4. Step 4: Simplify right side
    29,971.35x = 684,180,760.80
  5. Step 5: Solve for x
    x = 684,180,760.80/29,971.35
  6. Step 6: Final answer
    x = 22,827.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.