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Finding the Fourth Proportional to 85,123.30, 117,469 and 47,397.54

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Solution

The fourth proportional to 85,123.30, 117,469 and 47,397.54 is: 65,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,123.30 : 117,469 = 47,397.54 : x
  2. Step 2: Convert to fraction form
    85,123.30/117,469 = 47,397.54/x
  3. Step 3: Cross multiply
    85,123.30x = 117,469 × 47,397.54
  4. Step 4: Simplify right side
    85,123.30x = 5,567,741,626.26
  5. Step 5: Solve for x
    x = 5,567,741,626.26/85,123.30
  6. Step 6: Final answer
    x = 65,407.96

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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.