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Finding the Fourth Proportional to 126,231, 189,347.94 and 32,731.08

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Solution

The fourth proportional to 126,231, 189,347.94 and 32,731.08 is: 49,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,231 : 189,347.94 = 32,731.08 : x
  2. Step 2: Convert to fraction form
    126,231/189,347.94 = 32,731.08/x
  3. Step 3: Cross multiply
    126,231x = 189,347.94 × 32,731.08
  4. Step 4: Simplify right side
    126,231x = 6,197,562,571.98
  5. Step 5: Solve for x
    x = 6,197,562,571.98/126,231
  6. Step 6: Final answer
    x = 49,096.99

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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.