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Finding the Fourth Proportional to 82,367.90, 123,551.49 and 20,038.70

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Solution

The fourth proportional to 82,367.90, 123,551.49 and 20,038.70 is: 30,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,367.90 : 123,551.49 = 20,038.70 : x
  2. Step 2: Convert to fraction form
    82,367.90/123,551.49 = 20,038.70/x
  3. Step 3: Cross multiply
    82,367.90x = 123,551.49 × 20,038.70
  4. Step 4: Simplify right side
    82,367.90x = 2,475,811,242.66
  5. Step 5: Solve for x
    x = 2,475,811,242.66/82,367.90
  6. Step 6: Final answer
    x = 30,057.96

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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.