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Finding the Fourth Proportional to 57,008.49, 85,402.02 and 27,447.09

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Solution

The fourth proportional to 57,008.49, 85,402.02 and 27,447.09 is: 41,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,008.49 : 85,402.02 = 27,447.09 : x
  2. Step 2: Convert to fraction form
    57,008.49/85,402.02 = 27,447.09/x
  3. Step 3: Cross multiply
    57,008.49x = 85,402.02 × 27,447.09
  4. Step 4: Simplify right side
    57,008.49x = 2,344,036,929.12
  5. Step 5: Solve for x
    x = 2,344,036,929.12/57,008.49
  6. Step 6: Final answer
    x = 41,117.33

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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.