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Finding the Fourth Proportional to 82,209.96, 123,312.06 and 34,812

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Solution

The fourth proportional to 82,209.96, 123,312.06 and 34,812 is: 52,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,209.96 : 123,312.06 = 34,812 : x
  2. Step 2: Convert to fraction form
    82,209.96/123,312.06 = 34,812/x
  3. Step 3: Cross multiply
    82,209.96x = 123,312.06 × 34,812
  4. Step 4: Simplify right side
    82,209.96x = 4,292,739,432.72
  5. Step 5: Solve for x
    x = 4,292,739,432.72/82,209.96
  6. Step 6: Final answer
    x = 52,216.78

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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.