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Finding the Fourth Proportional to 61,872.25, 85,383.77 and 33,577.94

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Solution

The fourth proportional to 61,872.25, 85,383.77 and 33,577.94 is: 46,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,872.25 : 85,383.77 = 33,577.94 : x
  2. Step 2: Convert to fraction form
    61,872.25/85,383.77 = 33,577.94/x
  3. Step 3: Cross multiply
    61,872.25x = 85,383.77 × 33,577.94
  4. Step 4: Simplify right side
    61,872.25x = 2,867,011,106.03
  5. Step 5: Solve for x
    x = 2,867,011,106.03/61,872.25
  6. Step 6: Final answer
    x = 46,337.59

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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.