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Finding the Fourth Proportional to 61,713.12, 85,164.24 and 33,418.64

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Solution

The fourth proportional to 61,713.12, 85,164.24 and 33,418.64 is: 46,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713.12 : 85,164.24 = 33,418.64 : x
  2. Step 2: Convert to fraction form
    61,713.12/85,164.24 = 33,418.64/x
  3. Step 3: Cross multiply
    61,713.12x = 85,164.24 × 33,418.64
  4. Step 4: Simplify right side
    61,713.12x = 2,846,073,077.43
  5. Step 5: Solve for x
    x = 2,846,073,077.43/61,713.12
  6. Step 6: Final answer
    x = 46,117.80

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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.