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Finding the Fourth Proportional to 29,596.92, 40,844.49 and 16,168.02

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Solution

The fourth proportional to 29,596.92, 40,844.49 and 16,168.02 is: 22,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596.92 : 40,844.49 = 16,168.02 : x
  2. Step 2: Convert to fraction form
    29,596.92/40,844.49 = 16,168.02/x
  3. Step 3: Cross multiply
    29,596.92x = 40,844.49 × 16,168.02
  4. Step 4: Simplify right side
    29,596.92x = 660,374,531.21
  5. Step 5: Solve for x
    x = 660,374,531.21/29,596.92
  6. Step 6: Final answer
    x = 22,312.27

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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.