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Finding the Fourth Proportional to 29,633.77, 40,893.98 and 16,204.87

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Solution

The fourth proportional to 29,633.77, 40,893.98 and 16,204.87 is: 22,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,633.77 : 40,893.98 = 16,204.87 : x
  2. Step 2: Convert to fraction form
    29,633.77/40,893.98 = 16,204.87/x
  3. Step 3: Cross multiply
    29,633.77x = 40,893.98 × 16,204.87
  4. Step 4: Simplify right side
    29,633.77x = 662,681,629.68
  5. Step 5: Solve for x
    x = 662,681,629.68/29,633.77
  6. Step 6: Final answer
    x = 22,362.38

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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.