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Finding the Fourth Proportional to 61,713.64, 85,164.33 and 33,419.33

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Solution

The fourth proportional to 61,713.64, 85,164.33 and 33,419.33 is: 46,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713.64 : 85,164.33 = 33,419.33 : x
  2. Step 2: Convert to fraction form
    61,713.64/85,164.33 = 33,419.33/x
  3. Step 3: Cross multiply
    61,713.64x = 85,164.33 × 33,419.33
  4. Step 4: Simplify right side
    61,713.64x = 2,846,134,439.86
  5. Step 5: Solve for x
    x = 2,846,134,439.86/61,713.64
  6. Step 6: Final answer
    x = 46,118.40

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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.