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Finding the Fourth Proportional to 51,602.28, 71,222.88 and 30,388.38

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Solution

The fourth proportional to 51,602.28, 71,222.88 and 30,388.38 is: 41,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,602.28 : 71,222.88 = 30,388.38 : x
  2. Step 2: Convert to fraction form
    51,602.28/71,222.88 = 30,388.38/x
  3. Step 3: Cross multiply
    51,602.28x = 71,222.88 × 30,388.38
  4. Step 4: Simplify right side
    51,602.28x = 2,164,347,942.13
  5. Step 5: Solve for x
    x = 2,164,347,942.13/51,602.28
  6. Step 6: Final answer
    x = 41,942.87

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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.