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Finding the Fourth Proportional to 34,580.92, 51,879.06 and 9,955

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Solution

The fourth proportional to 34,580.92, 51,879.06 and 9,955 is: 14,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580.92 : 51,879.06 = 9,955 : x
  2. Step 2: Convert to fraction form
    34,580.92/51,879.06 = 9,955/x
  3. Step 3: Cross multiply
    34,580.92x = 51,879.06 × 9,955
  4. Step 4: Simplify right side
    34,580.92x = 516,456,042.30
  5. Step 5: Solve for x
    x = 516,456,042.30/34,580.92
  6. Step 6: Final answer
    x = 14,934.71

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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.