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Finding the Fourth Proportional to 33,085, 49,627.40 and 13,363.32

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Solution

The fourth proportional to 33,085, 49,627.40 and 13,363.32 is: 20,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085 : 49,627.40 = 13,363.32 : x
  2. Step 2: Convert to fraction form
    33,085/49,627.40 = 13,363.32/x
  3. Step 3: Cross multiply
    33,085x = 49,627.40 × 13,363.32
  4. Step 4: Simplify right side
    33,085x = 663,186,826.97
  5. Step 5: Solve for x
    x = 663,186,826.97/33,085
  6. Step 6: Final answer
    x = 20,044.94

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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.