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Finding the Fourth Proportional to 57,709.28, 86,575.14 and 22,168

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Solution

The fourth proportional to 57,709.28, 86,575.14 and 22,168 is: 33,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.28 : 86,575.14 = 22,168 : x
  2. Step 2: Convert to fraction form
    57,709.28/86,575.14 = 22,168/x
  3. Step 3: Cross multiply
    57,709.28x = 86,575.14 × 22,168
  4. Step 4: Simplify right side
    57,709.28x = 1,919,197,703.52
  5. Step 5: Solve for x
    x = 1,919,197,703.52/57,709.28
  6. Step 6: Final answer
    x = 33,256.31

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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.