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Finding the Fourth Proportional to 68,147.84, 102,221.68 and 18,899.84

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Solution

The fourth proportional to 68,147.84, 102,221.68 and 18,899.84 is: 28,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,147.84 : 102,221.68 = 18,899.84 : x
  2. Step 2: Convert to fraction form
    68,147.84/102,221.68 = 18,899.84/x
  3. Step 3: Cross multiply
    68,147.84x = 102,221.68 × 18,899.84
  4. Step 4: Simplify right side
    68,147.84x = 1,931,973,396.53
  5. Step 5: Solve for x
    x = 1,931,973,396.53/68,147.84
  6. Step 6: Final answer
    x = 28,349.74

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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.