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Finding the Fourth Proportional to 82,543.86, 123,816.33 and 20,214.36

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Solution

The fourth proportional to 82,543.86, 123,816.33 and 20,214.36 is: 30,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,543.86 : 123,816.33 = 20,214.36 : x
  2. Step 2: Convert to fraction form
    82,543.86/123,816.33 = 20,214.36/x
  3. Step 3: Cross multiply
    82,543.86x = 123,816.33 × 20,214.36
  4. Step 4: Simplify right side
    82,543.86x = 2,502,867,868.50
  5. Step 5: Solve for x
    x = 2,502,867,868.50/82,543.86
  6. Step 6: Final answer
    x = 30,321.67

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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.