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Finding the Fourth Proportional to 51,760.84, 71,432.52 and 31,614.46

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Solution

The fourth proportional to 51,760.84, 71,432.52 and 31,614.46 is: 43,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,760.84 : 71,432.52 = 31,614.46 : x
  2. Step 2: Convert to fraction form
    51,760.84/71,432.52 = 31,614.46/x
  3. Step 3: Cross multiply
    51,760.84x = 71,432.52 × 31,614.46
  4. Step 4: Simplify right side
    51,760.84x = 2,258,300,189.08
  5. Step 5: Solve for x
    x = 2,258,300,189.08/51,760.84
  6. Step 6: Final answer
    x = 43,629.52

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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.