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Finding the Fourth Proportional to 51,727.50, 71,384.02 and 29,371.50

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Solution

The fourth proportional to 51,727.50, 71,384.02 and 29,371.50 is: 40,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,727.50 : 71,384.02 = 29,371.50 : x
  2. Step 2: Convert to fraction form
    51,727.50/71,384.02 = 29,371.50/x
  3. Step 3: Cross multiply
    51,727.50x = 71,384.02 × 29,371.50
  4. Step 4: Simplify right side
    51,727.50x = 2,096,655,670.00
  5. Step 5: Solve for x
    x = 2,096,655,670.00/51,727.50
  6. Step 6: Final answer
    x = 40,532.71

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Why These Related Problems?

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