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Finding the Fourth Proportional to 51,939.68, 71,677.07 and 32,827.92

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Solution

The fourth proportional to 51,939.68, 71,677.07 and 32,827.92 is: 45,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,939.68 : 71,677.07 = 32,827.92 : x
  2. Step 2: Convert to fraction form
    51,939.68/71,677.07 = 32,827.92/x
  3. Step 3: Cross multiply
    51,939.68x = 71,677.07 × 32,827.92
  4. Step 4: Simplify right side
    51,939.68x = 2,353,009,119.79
  5. Step 5: Solve for x
    x = 2,353,009,119.79/51,939.68
  6. Step 6: Final answer
    x = 45,302.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.