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Finding the Fourth Proportional to 85,005, 117,306.90 and 47,278.44

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Solution

The fourth proportional to 85,005, 117,306.90 and 47,278.44 is: 65,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,005 : 117,306.90 = 47,278.44 : x
  2. Step 2: Convert to fraction form
    85,005/117,306.90 = 47,278.44/x
  3. Step 3: Cross multiply
    85,005x = 117,306.90 × 47,278.44
  4. Step 4: Simplify right side
    85,005x = 5,546,087,233.24
  5. Step 5: Solve for x
    x = 5,546,087,233.24/85,005
  6. Step 6: Final answer
    x = 65,244.25

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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.