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Finding the Fourth Proportional to 20,533.08, 30,795.14 and 8,049.08

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Solution

The fourth proportional to 20,533.08, 30,795.14 and 8,049.08 is: 12,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.08 : 30,795.14 = 8,049.08 : x
  2. Step 2: Convert to fraction form
    20,533.08/30,795.14 = 8,049.08/x
  3. Step 3: Cross multiply
    20,533.08x = 30,795.14 × 8,049.08
  4. Step 4: Simplify right side
    20,533.08x = 247,872,545.47
  5. Step 5: Solve for x
    x = 247,872,545.47/20,533.08
  6. Step 6: Final answer
    x = 12,071.86

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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.