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Finding the Fourth Proportional to 29,618.13, 40,871.90 and 16,189.27

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Solution

The fourth proportional to 29,618.13, 40,871.90 and 16,189.27 is: 22,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,618.13 : 40,871.90 = 16,189.27 : x
  2. Step 2: Convert to fraction form
    29,618.13/40,871.90 = 16,189.27/x
  3. Step 3: Cross multiply
    29,618.13x = 40,871.90 × 16,189.27
  4. Step 4: Simplify right side
    29,618.13x = 661,686,224.51
  5. Step 5: Solve for x
    x = 661,686,224.51/29,618.13
  6. Step 6: Final answer
    x = 22,340.58

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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.