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Finding the Fourth Proportional to 66,821, 92,213.16 and 37,013

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Solution

The fourth proportional to 66,821, 92,213.16 and 37,013 is: 51,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,821 : 92,213.16 = 37,013 : x
  2. Step 2: Convert to fraction form
    66,821/92,213.16 = 37,013/x
  3. Step 3: Cross multiply
    66,821x = 92,213.16 × 37,013
  4. Step 4: Simplify right side
    66,821x = 3,413,085,691.08
  5. Step 5: Solve for x
    x = 3,413,085,691.08/66,821
  6. Step 6: Final answer
    x = 51,078.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.