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Finding the Fourth Proportional to 61,993.82, 85,551.77 and 33,699.50

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Solution

The fourth proportional to 61,993.82, 85,551.77 and 33,699.50 is: 46,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,993.82 : 85,551.77 = 33,699.50 : x
  2. Step 2: Convert to fraction form
    61,993.82/85,551.77 = 33,699.50/x
  3. Step 3: Cross multiply
    61,993.82x = 85,551.77 × 33,699.50
  4. Step 4: Simplify right side
    61,993.82x = 2,883,051,873.12
  5. Step 5: Solve for x
    x = 2,883,051,873.12/61,993.82
  6. Step 6: Final answer
    x = 46,505.47

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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.