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Finding the Fourth Proportional to 68,538.40, 102,807.60 and 42,294.40

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Solution

The fourth proportional to 68,538.40, 102,807.60 and 42,294.40 is: 63,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538.40 : 102,807.60 = 42,294.40 : x
  2. Step 2: Convert to fraction form
    68,538.40/102,807.60 = 42,294.40/x
  3. Step 3: Cross multiply
    68,538.40x = 102,807.60 × 42,294.40
  4. Step 4: Simplify right side
    68,538.40x = 4,348,185,757.44
  5. Step 5: Solve for x
    x = 4,348,185,757.44/68,538.40
  6. Step 6: Final answer
    x = 63,441.60

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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.