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Finding the Fourth Proportional to 61,728.64, 85,185.54 and 33,434.44

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Solution

The fourth proportional to 61,728.64, 85,185.54 and 33,434.44 is: 46,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728.64 : 85,185.54 = 33,434.44 : x
  2. Step 2: Convert to fraction form
    61,728.64/85,185.54 = 33,434.44/x
  3. Step 3: Cross multiply
    61,728.64x = 85,185.54 × 33,434.44
  4. Step 4: Simplify right side
    61,728.64x = 2,848,130,826.00
  5. Step 5: Solve for x
    x = 2,848,130,826.00/61,728.64
  6. Step 6: Final answer
    x = 46,139.54

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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.