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Finding the Fourth Proportional to 20,171, 30,256.50 and 5,579

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Solution

The fourth proportional to 20,171, 30,256.50 and 5,579 is: 8,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 30,256.50 = 5,579 : x
  2. Step 2: Convert to fraction form
    20,171/30,256.50 = 5,579/x
  3. Step 3: Cross multiply
    20,171x = 30,256.50 × 5,579
  4. Step 4: Simplify right side
    20,171x = 168,801,013.50
  5. Step 5: Solve for x
    x = 168,801,013.50/20,171
  6. Step 6: Final answer
    x = 8,368.50

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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.