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Finding the Fourth Proportional to 85,003.56, 117,308.25 and 47,277

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Solution

The fourth proportional to 85,003.56, 117,308.25 and 47,277 is: 65,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,003.56 : 117,308.25 = 47,277 : x
  2. Step 2: Convert to fraction form
    85,003.56/117,308.25 = 47,277/x
  3. Step 3: Cross multiply
    85,003.56x = 117,308.25 × 47,277
  4. Step 4: Simplify right side
    85,003.56x = 5,545,982,135.25
  5. Step 5: Solve for x
    x = 5,545,982,135.25/85,003.56
  6. Step 6: Final answer
    x = 65,244.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.