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Finding the Fourth Proportional to 85,077, 117,406.26 and 47,350.44

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Solution

The fourth proportional to 85,077, 117,406.26 and 47,350.44 is: 65,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,077 : 117,406.26 = 47,350.44 : x
  2. Step 2: Convert to fraction form
    85,077/117,406.26 = 47,350.44/x
  3. Step 3: Cross multiply
    85,077x = 117,406.26 × 47,350.44
  4. Step 4: Simplify right side
    85,077x = 5,559,238,069.75
  5. Step 5: Solve for x
    x = 5,559,238,069.75/85,077
  6. Step 6: Final answer
    x = 65,343.61

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1.5x scale

Why These Related Problems?

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