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Finding the Fourth Proportional to 82,221.45, 123,310.77 and 34,812.14

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Solution

The fourth proportional to 82,221.45, 123,310.77 and 34,812.14 is: 52,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,221.45 : 123,310.77 = 34,812.14 : x
  2. Step 2: Convert to fraction form
    82,221.45/123,310.77 = 34,812.14/x
  3. Step 3: Cross multiply
    82,221.45x = 123,310.77 × 34,812.14
  4. Step 4: Simplify right side
    82,221.45x = 4,292,712,097.02
  5. Step 5: Solve for x
    x = 4,292,712,097.02/82,221.45
  6. Step 6: Final answer
    x = 52,209.15

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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.