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Finding the Fourth Proportional to 34,561.38, 51,843.02 and 9,601.50

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Solution

The fourth proportional to 34,561.38, 51,843.02 and 9,601.50 is: 14,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,561.38 : 51,843.02 = 9,601.50 : x
  2. Step 2: Convert to fraction form
    34,561.38/51,843.02 = 9,601.50/x
  3. Step 3: Cross multiply
    34,561.38x = 51,843.02 × 9,601.50
  4. Step 4: Simplify right side
    34,561.38x = 497,770,708.52
  5. Step 5: Solve for x
    x = 497,770,708.52/34,561.38
  6. Step 6: Final answer
    x = 14,402.51

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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.