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Finding the Fourth Proportional to 76,085.76, 114,155.60 and 33,962

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Solution

The fourth proportional to 76,085.76, 114,155.60 and 33,962 is: 50,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,085.76 : 114,155.60 = 33,962 : x
  2. Step 2: Convert to fraction form
    76,085.76/114,155.60 = 33,962/x
  3. Step 3: Cross multiply
    76,085.76x = 114,155.60 × 33,962
  4. Step 4: Simplify right side
    76,085.76x = 3,876,952,487.20
  5. Step 5: Solve for x
    x = 3,876,952,487.20/76,085.76
  6. Step 6: Final answer
    x = 50,955.03

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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.