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Finding the Fourth Proportional to 85,348.13, 117,780.33 and 47,622.38

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Solution

The fourth proportional to 85,348.13, 117,780.33 and 47,622.38 is: 65,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,348.13 : 117,780.33 = 47,622.38 : x
  2. Step 2: Convert to fraction form
    85,348.13/117,780.33 = 47,622.38/x
  3. Step 3: Cross multiply
    85,348.13x = 117,780.33 × 47,622.38
  4. Step 4: Simplify right side
    85,348.13x = 5,608,979,042.88
  5. Step 5: Solve for x
    x = 5,608,979,042.88/85,348.13
  6. Step 6: Final answer
    x = 65,718.83

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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.