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Finding the Fourth Proportional to 57,438.64, 86,141.22 and 22,369.96

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Solution

The fourth proportional to 57,438.64, 86,141.22 and 22,369.96 is: 33,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,438.64 : 86,141.22 = 22,369.96 : x
  2. Step 2: Convert to fraction form
    57,438.64/86,141.22 = 22,369.96/x
  3. Step 3: Cross multiply
    57,438.64x = 86,141.22 × 22,369.96
  4. Step 4: Simplify right side
    57,438.64x = 1,926,975,645.75
  5. Step 5: Solve for x
    x = 1,926,975,645.75/57,438.64
  6. Step 6: Final answer
    x = 33,548.42

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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.