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Finding the Fourth Proportional to 68,343.40, 102,515.10 and 57,284.20

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Solution

The fourth proportional to 68,343.40, 102,515.10 and 57,284.20 is: 85,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,343.40 : 102,515.10 = 57,284.20 : x
  2. Step 2: Convert to fraction form
    68,343.40/102,515.10 = 57,284.20/x
  3. Step 3: Cross multiply
    68,343.40x = 102,515.10 × 57,284.20
  4. Step 4: Simplify right side
    68,343.40x = 5,872,495,491.42
  5. Step 5: Solve for x
    x = 5,872,495,491.42/68,343.40
  6. Step 6: Final answer
    x = 85,926.30

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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.