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Finding the Fourth Proportional to 62,205.82, 85,842.32 and 33,911.50

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Solution

The fourth proportional to 62,205.82, 85,842.32 and 33,911.50 is: 46,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,205.82 : 85,842.32 = 33,911.50 : x
  2. Step 2: Convert to fraction form
    62,205.82/85,842.32 = 33,911.50/x
  3. Step 3: Cross multiply
    62,205.82x = 85,842.32 × 33,911.50
  4. Step 4: Simplify right side
    62,205.82x = 2,911,041,834.68
  5. Step 5: Solve for x
    x = 2,911,041,834.68/62,205.82
  6. Step 6: Final answer
    x = 46,796.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.