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Finding the Fourth Proportional to 85,150.26, 117,512.74 and 47,424.42

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Solution

The fourth proportional to 85,150.26, 117,512.74 and 47,424.42 is: 65,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,150.26 : 117,512.74 = 47,424.42 : x
  2. Step 2: Convert to fraction form
    85,150.26/117,512.74 = 47,424.42/x
  3. Step 3: Cross multiply
    85,150.26x = 117,512.74 × 47,424.42
  4. Step 4: Simplify right side
    85,150.26x = 5,572,973,537.11
  5. Step 5: Solve for x
    x = 5,572,973,537.11/85,150.26
  6. Step 6: Final answer
    x = 65,448.70

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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.