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Finding the Fourth Proportional to 61,932.96, 85,467.84 and 33,638.88

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Solution

The fourth proportional to 61,932.96, 85,467.84 and 33,638.88 is: 46,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,932.96 : 85,467.84 = 33,638.88 : x
  2. Step 2: Convert to fraction form
    61,932.96/85,467.84 = 33,638.88/x
  3. Step 3: Cross multiply
    61,932.96x = 85,467.84 × 33,638.88
  4. Step 4: Simplify right side
    61,932.96x = 2,875,042,413.62
  5. Step 5: Solve for x
    x = 2,875,042,413.62/61,932.96
  6. Step 6: Final answer
    x = 46,421.85

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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.