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Finding the Fourth Proportional to 33,828.91, 50,706.91 and 14,094.88

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Solution

The fourth proportional to 33,828.91, 50,706.91 and 14,094.88 is: 21,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.91 : 50,706.91 = 14,094.88 : x
  2. Step 2: Convert to fraction form
    33,828.91/50,706.91 = 14,094.88/x
  3. Step 3: Cross multiply
    33,828.91x = 50,706.91 × 14,094.88
  4. Step 4: Simplify right side
    33,828.91x = 714,707,702.47
  5. Step 5: Solve for x
    x = 714,707,702.47/33,828.91
  6. Step 6: Final answer
    x = 21,127.13

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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.