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Finding the Fourth Proportional to 20,225, 30,337.50 and 5,633

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Solution

The fourth proportional to 20,225, 30,337.50 and 5,633 is: 8,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225 : 30,337.50 = 5,633 : x
  2. Step 2: Convert to fraction form
    20,225/30,337.50 = 5,633/x
  3. Step 3: Cross multiply
    20,225x = 30,337.50 × 5,633
  4. Step 4: Simplify right side
    20,225x = 170,891,137.50
  5. Step 5: Solve for x
    x = 170,891,137.50/20,225
  6. Step 6: Final answer
    x = 8,449.50

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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.