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Finding the Fourth Proportional to 53,813.40, 80,720.10 and 34,114.20

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Solution

The fourth proportional to 53,813.40, 80,720.10 and 34,114.20 is: 51,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813.40 : 80,720.10 = 34,114.20 : x
  2. Step 2: Convert to fraction form
    53,813.40/80,720.10 = 34,114.20/x
  3. Step 3: Cross multiply
    53,813.40x = 80,720.10 × 34,114.20
  4. Step 4: Simplify right side
    53,813.40x = 2,753,701,635.42
  5. Step 5: Solve for x
    x = 2,753,701,635.42/53,813.40
  6. Step 6: Final answer
    x = 51,171.30

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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.