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Finding the Fourth Proportional to 61,728.50, 85,185.34 and 33,434.40

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Solution

The fourth proportional to 61,728.50, 85,185.34 and 33,434.40 is: 46,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728.50 : 85,185.34 = 33,434.40 : x
  2. Step 2: Convert to fraction form
    61,728.50/85,185.34 = 33,434.40/x
  3. Step 3: Cross multiply
    61,728.50x = 85,185.34 × 33,434.40
  4. Step 4: Simplify right side
    61,728.50x = 2,848,120,731.70
  5. Step 5: Solve for x
    x = 2,848,120,731.70/61,728.50
  6. Step 6: Final answer
    x = 46,139.48

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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.