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Finding the Fourth Proportional to 33,115.86, 49,696.10 and 12,339.36

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Solution

The fourth proportional to 33,115.86, 49,696.10 and 12,339.36 is: 18,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,115.86 : 49,696.10 = 12,339.36 : x
  2. Step 2: Convert to fraction form
    33,115.86/49,696.10 = 12,339.36/x
  3. Step 3: Cross multiply
    33,115.86x = 49,696.10 × 12,339.36
  4. Step 4: Simplify right side
    33,115.86x = 613,218,068.50
  5. Step 5: Solve for x
    x = 613,218,068.50/33,115.86
  6. Step 6: Final answer
    x = 18,517.35

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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.