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Finding the Fourth Proportional to 82,543.70, 123,813.99 and 20,214.74

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Solution

The fourth proportional to 82,543.70, 123,813.99 and 20,214.74 is: 30,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,543.70 : 123,813.99 = 20,214.74 : x
  2. Step 2: Convert to fraction form
    82,543.70/123,813.99 = 20,214.74/x
  3. Step 3: Cross multiply
    82,543.70x = 123,813.99 × 20,214.74
  4. Step 4: Simplify right side
    82,543.70x = 2,502,867,616.21
  5. Step 5: Solve for x
    x = 2,502,867,616.21/82,543.70
  6. Step 6: Final answer
    x = 30,321.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.