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Finding the Fourth Proportional to 34,825.50, 52,246.92 and 10,201.50

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Solution

The fourth proportional to 34,825.50, 52,246.92 and 10,201.50 is: 15,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,825.50 : 52,246.92 = 10,201.50 : x
  2. Step 2: Convert to fraction form
    34,825.50/52,246.92 = 10,201.50/x
  3. Step 3: Cross multiply
    34,825.50x = 52,246.92 × 10,201.50
  4. Step 4: Simplify right side
    34,825.50x = 532,996,954.38
  5. Step 5: Solve for x
    x = 532,996,954.38/34,825.50
  6. Step 6: Final answer
    x = 15,304.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.