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Finding the Fourth Proportional to 82,216, 123,328.05 and 26,812

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Solution

The fourth proportional to 82,216, 123,328.05 and 26,812 is: 40,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,216 : 123,328.05 = 26,812 : x
  2. Step 2: Convert to fraction form
    82,216/123,328.05 = 26,812/x
  3. Step 3: Cross multiply
    82,216x = 123,328.05 × 26,812
  4. Step 4: Simplify right side
    82,216x = 3,306,671,676.60
  5. Step 5: Solve for x
    x = 3,306,671,676.60/82,216
  6. Step 6: Final answer
    x = 40,219.32

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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.