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Finding the Fourth Proportional to 33,797.44, 50,702.91 and 10,423

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Solution

The fourth proportional to 33,797.44, 50,702.91 and 10,423 is: 15,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,797.44 : 50,702.91 = 10,423 : x
  2. Step 2: Convert to fraction form
    33,797.44/50,702.91 = 10,423/x
  3. Step 3: Cross multiply
    33,797.44x = 50,702.91 × 10,423
  4. Step 4: Simplify right side
    33,797.44x = 528,476,430.93
  5. Step 5: Solve for x
    x = 528,476,430.93/33,797.44
  6. Step 6: Final answer
    x = 15,636.58

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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.