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Finding the Fourth Proportional to 126,057.42, 189,086.13 and 32,563.17

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Solution

The fourth proportional to 126,057.42, 189,086.13 and 32,563.17 is: 48,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,057.42 : 189,086.13 = 32,563.17 : x
  2. Step 2: Convert to fraction form
    126,057.42/189,086.13 = 32,563.17/x
  3. Step 3: Cross multiply
    126,057.42x = 189,086.13 × 32,563.17
  4. Step 4: Simplify right side
    126,057.42x = 6,157,243,795.83
  5. Step 5: Solve for x
    x = 6,157,243,795.83/126,057.42
  6. Step 6: Final answer
    x = 48,844.76

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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.