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Finding the Fourth Proportional to 78,434, 117,584.85 and 34,027.34

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Solution

The fourth proportional to 78,434, 117,584.85 and 34,027.34 is: 51,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,434 : 117,584.85 = 34,027.34 : x
  2. Step 2: Convert to fraction form
    78,434/117,584.85 = 34,027.34/x
  3. Step 3: Cross multiply
    78,434x = 117,584.85 × 34,027.34
  4. Step 4: Simplify right side
    78,434x = 4,001,099,669.80
  5. Step 5: Solve for x
    x = 4,001,099,669.80/78,434
  6. Step 6: Final answer
    x = 51,012.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.