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Finding the Fourth Proportional to 61,713.88, 85,165.02 and 33,419.80

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Solution

The fourth proportional to 61,713.88, 85,165.02 and 33,419.80 is: 46,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713.88 : 85,165.02 = 33,419.80 : x
  2. Step 2: Convert to fraction form
    61,713.88/85,165.02 = 33,419.80/x
  3. Step 3: Cross multiply
    61,713.88x = 85,165.02 × 33,419.80
  4. Step 4: Simplify right side
    61,713.88x = 2,846,197,935.40
  5. Step 5: Solve for x
    x = 2,846,197,935.40/61,713.88
  6. Step 6: Final answer
    x = 46,119.25

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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.