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Finding the Fourth Proportional to 33,234.32, 49,828.80 and 12,440

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Solution

The fourth proportional to 33,234.32, 49,828.80 and 12,440 is: 18,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234.32 : 49,828.80 = 12,440 : x
  2. Step 2: Convert to fraction form
    33,234.32/49,828.80 = 12,440/x
  3. Step 3: Cross multiply
    33,234.32x = 49,828.80 × 12,440
  4. Step 4: Simplify right side
    33,234.32x = 619,870,272
  5. Step 5: Solve for x
    x = 619,870,272/33,234.32
  6. Step 6: Final answer
    x = 18,651.51

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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.