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Finding the Fourth Proportional to 68,109.83, 102,175.68 and 25,988.21

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Solution

The fourth proportional to 68,109.83, 102,175.68 and 25,988.21 is: 38,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,109.83 : 102,175.68 = 25,988.21 : x
  2. Step 2: Convert to fraction form
    68,109.83/102,175.68 = 25,988.21/x
  3. Step 3: Cross multiply
    68,109.83x = 102,175.68 × 25,988.21
  4. Step 4: Simplify right side
    68,109.83x = 2,655,363,028.73
  5. Step 5: Solve for x
    x = 2,655,363,028.73/68,109.83
  6. Step 6: Final answer
    x = 38,986.49

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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.