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Finding the Fourth Proportional to 92,635.76, 127,836.96 and 50,194.46

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Solution

The fourth proportional to 92,635.76, 127,836.96 and 50,194.46 is: 69,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,635.76 : 127,836.96 = 50,194.46 : x
  2. Step 2: Convert to fraction form
    92,635.76/127,836.96 = 50,194.46/x
  3. Step 3: Cross multiply
    92,635.76x = 127,836.96 × 50,194.46
  4. Step 4: Simplify right side
    92,635.76x = 6,416,707,175.24
  5. Step 5: Solve for x
    x = 6,416,707,175.24/92,635.76
  6. Step 6: Final answer
    x = 69,268.14

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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.