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Finding the Fourth Proportional to 29,637.23, 40,899.38 and 16,208.42

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Solution

The fourth proportional to 29,637.23, 40,899.38 and 16,208.42 is: 22,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,637.23 : 40,899.38 = 16,208.42 : x
  2. Step 2: Convert to fraction form
    29,637.23/40,899.38 = 16,208.42/x
  3. Step 3: Cross multiply
    29,637.23x = 40,899.38 × 16,208.42
  4. Step 4: Simplify right side
    29,637.23x = 662,914,043.24
  5. Step 5: Solve for x
    x = 662,914,043.24/29,637.23
  6. Step 6: Final answer
    x = 22,367.62

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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.