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Finding the Fourth Proportional to 61,928.30, 85,459.64 and 33,633.38

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Solution

The fourth proportional to 61,928.30, 85,459.64 and 33,633.38 is: 46,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,928.30 : 85,459.64 = 33,633.38 : x
  2. Step 2: Convert to fraction form
    61,928.30/85,459.64 = 33,633.38/x
  3. Step 3: Cross multiply
    61,928.30x = 85,459.64 × 33,633.38
  4. Step 4: Simplify right side
    61,928.30x = 2,874,296,546.78
  5. Step 5: Solve for x
    x = 2,874,296,546.78/61,928.30
  6. Step 6: Final answer
    x = 46,413.30

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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.