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Finding the Fourth Proportional to 61,546.38, 84,891.78 and 37,684.86

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Solution

The fourth proportional to 61,546.38, 84,891.78 and 37,684.86 is: 51,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,546.38 : 84,891.78 = 37,684.86 : x
  2. Step 2: Convert to fraction form
    61,546.38/84,891.78 = 37,684.86/x
  3. Step 3: Cross multiply
    61,546.38x = 84,891.78 × 37,684.86
  4. Step 4: Simplify right side
    61,546.38x = 3,199,134,844.45
  5. Step 5: Solve for x
    x = 3,199,134,844.45/61,546.38
  6. Step 6: Final answer
    x = 51,979.25

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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.