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Finding the Fourth Proportional to 126,454.75, 189,693.06 and 32,960.50

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Solution

The fourth proportional to 126,454.75, 189,693.06 and 32,960.50 is: 49,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,454.75 : 189,693.06 = 32,960.50 : x
  2. Step 2: Convert to fraction form
    126,454.75/189,693.06 = 32,960.50/x
  3. Step 3: Cross multiply
    126,454.75x = 189,693.06 × 32,960.50
  4. Step 4: Simplify right side
    126,454.75x = 6,252,378,104.13
  5. Step 5: Solve for x
    x = 6,252,378,104.13/126,454.75
  6. Step 6: Final answer
    x = 49,443.60

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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.