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Finding the Fourth Proportional to 126,453.25, 189,690.81 and 32,959

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Solution

The fourth proportional to 126,453.25, 189,690.81 and 32,959 is: 49,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,453.25 : 189,690.81 = 32,959 : x
  2. Step 2: Convert to fraction form
    126,453.25/189,690.81 = 32,959/x
  3. Step 3: Cross multiply
    126,453.25x = 189,690.81 × 32,959
  4. Step 4: Simplify right side
    126,453.25x = 6,252,019,406.79
  5. Step 5: Solve for x
    x = 6,252,019,406.79/126,453.25
  6. Step 6: Final answer
    x = 49,441.35

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Why These Related Problems?

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