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Finding the Fourth Proportional to 57,713.40, 86,570.10 and 54,214.20

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Solution

The fourth proportional to 57,713.40, 86,570.10 and 54,214.20 is: 81,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,713.40 : 86,570.10 = 54,214.20 : x
  2. Step 2: Convert to fraction form
    57,713.40/86,570.10 = 54,214.20/x
  3. Step 3: Cross multiply
    57,713.40x = 86,570.10 × 54,214.20
  4. Step 4: Simplify right side
    57,713.40x = 4,693,328,715.42
  5. Step 5: Solve for x
    x = 4,693,328,715.42/57,713.40
  6. Step 6: Final answer
    x = 81,321.30

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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.