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Finding the Fourth Proportional to 29,614.25, 40,870.44 and 16,187.49

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Solution

The fourth proportional to 29,614.25, 40,870.44 and 16,187.49 is: 22,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.25 : 40,870.44 = 16,187.49 : x
  2. Step 2: Convert to fraction form
    29,614.25/40,870.44 = 16,187.49/x
  3. Step 3: Cross multiply
    29,614.25x = 40,870.44 × 16,187.49
  4. Step 4: Simplify right side
    29,614.25x = 661,589,838.80
  5. Step 5: Solve for x
    x = 661,589,838.80/29,614.25
  6. Step 6: Final answer
    x = 22,340.25

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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.