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Finding the Fourth Proportional to 61,728.35, 85,185 and 33,434.01

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Solution

The fourth proportional to 61,728.35, 85,185 and 33,434.01 is: 46,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728.35 : 85,185 = 33,434.01 : x
  2. Step 2: Convert to fraction form
    61,728.35/85,185 = 33,434.01/x
  3. Step 3: Cross multiply
    61,728.35x = 85,185 × 33,434.01
  4. Step 4: Simplify right side
    61,728.35x = 2,848,076,141.85
  5. Step 5: Solve for x
    x = 2,848,076,141.85/61,728.35
  6. Step 6: Final answer
    x = 46,138.87

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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.