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Finding the Fourth Proportional to 20,179.68, 30,272.84 and 7,035.88

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Solution

The fourth proportional to 20,179.68, 30,272.84 and 7,035.88 is: 10,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.68 : 30,272.84 = 7,035.88 : x
  2. Step 2: Convert to fraction form
    20,179.68/30,272.84 = 7,035.88/x
  3. Step 3: Cross multiply
    20,179.68x = 30,272.84 × 7,035.88
  4. Step 4: Simplify right side
    20,179.68x = 212,996,069.50
  5. Step 5: Solve for x
    x = 212,996,069.50/20,179.68
  6. Step 6: Final answer
    x = 10,554.98

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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.