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Finding the Fourth Proportional to 77,059.40, 115,512.30 and 35,433.80

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Solution

The fourth proportional to 77,059.40, 115,512.30 and 35,433.80 is: 53,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,059.40 : 115,512.30 = 35,433.80 : x
  2. Step 2: Convert to fraction form
    77,059.40/115,512.30 = 35,433.80/x
  3. Step 3: Cross multiply
    77,059.40x = 115,512.30 × 35,433.80
  4. Step 4: Simplify right side
    77,059.40x = 4,093,039,735.74
  5. Step 5: Solve for x
    x = 4,093,039,735.74/77,059.40
  6. Step 6: Final answer
    x = 53,115.39

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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.