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Finding the Fourth Proportional to 82,214.10, 123,321.15 and 26,810.10

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Solution

The fourth proportional to 82,214.10, 123,321.15 and 26,810.10 is: 40,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,214.10 : 123,321.15 = 26,810.10 : x
  2. Step 2: Convert to fraction form
    82,214.10/123,321.15 = 26,810.10/x
  3. Step 3: Cross multiply
    82,214.10x = 123,321.15 × 26,810.10
  4. Step 4: Simplify right side
    82,214.10x = 3,306,252,363.62
  5. Step 5: Solve for x
    x = 3,306,252,363.62/82,214.10
  6. Step 6: Final answer
    x = 40,215.15

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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.