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Finding the Fourth Proportional to 29,110.48, 40,171.98 and 16,189.24

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Solution

The fourth proportional to 29,110.48, 40,171.98 and 16,189.24 is: 22,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,110.48 : 40,171.98 = 16,189.24 : x
  2. Step 2: Convert to fraction form
    29,110.48/40,171.98 = 16,189.24/x
  3. Step 3: Cross multiply
    29,110.48x = 40,171.98 × 16,189.24
  4. Step 4: Simplify right side
    29,110.48x = 650,353,825.50
  5. Step 5: Solve for x
    x = 650,353,825.50/29,110.48
  6. Step 6: Final answer
    x = 22,340.88

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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.