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Finding the Fourth Proportional to 61,857.91, 85,365.57 and 33,563.58

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Solution

The fourth proportional to 61,857.91, 85,365.57 and 33,563.58 is: 46,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,857.91 : 85,365.57 = 33,563.58 : x
  2. Step 2: Convert to fraction form
    61,857.91/85,365.57 = 33,563.58/x
  3. Step 3: Cross multiply
    61,857.91x = 85,365.57 × 33,563.58
  4. Step 4: Simplify right side
    61,857.91x = 2,865,174,137.94
  5. Step 5: Solve for x
    x = 2,865,174,137.94/61,857.91
  6. Step 6: Final answer
    x = 46,318.64

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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.