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Finding the Fourth Proportional to 43,093.22, 64,621.90 and 16,448.87

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Solution

The fourth proportional to 43,093.22, 64,621.90 and 16,448.87 is: 24,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,093.22 : 64,621.90 = 16,448.87 : x
  2. Step 2: Convert to fraction form
    43,093.22/64,621.90 = 16,448.87/x
  3. Step 3: Cross multiply
    43,093.22x = 64,621.90 × 16,448.87
  4. Step 4: Simplify right side
    43,093.22x = 1,062,957,414.37
  5. Step 5: Solve for x
    x = 1,062,957,414.37/43,093.22
  6. Step 6: Final answer
    x = 24,666.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.