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Finding the Fourth Proportional to 43,257.44, 64,863 and 22,188.87

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Solution

The fourth proportional to 43,257.44, 64,863 and 22,188.87 is: 33,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,257.44 : 64,863 = 22,188.87 : x
  2. Step 2: Convert to fraction form
    43,257.44/64,863 = 22,188.87/x
  3. Step 3: Cross multiply
    43,257.44x = 64,863 × 22,188.87
  4. Step 4: Simplify right side
    43,257.44x = 1,439,236,674.81
  5. Step 5: Solve for x
    x = 1,439,236,674.81/43,257.44
  6. Step 6: Final answer
    x = 33,271.42

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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.