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Finding the Fourth Proportional to 126,420.40, 189,641.46 and 32,926

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Solution

The fourth proportional to 126,420.40, 189,641.46 and 32,926 is: 49,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,420.40 : 189,641.46 = 32,926 : x
  2. Step 2: Convert to fraction form
    126,420.40/189,641.46 = 32,926/x
  3. Step 3: Cross multiply
    126,420.40x = 189,641.46 × 32,926
  4. Step 4: Simplify right side
    126,420.40x = 6,244,134,711.96
  5. Step 5: Solve for x
    x = 6,244,134,711.96/126,420.40
  6. Step 6: Final answer
    x = 49,391.83

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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.