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Finding the Fourth Proportional to 61,728.54, 85,185.16 and 33,434.29

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Solution

The fourth proportional to 61,728.54, 85,185.16 and 33,434.29 is: 46,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728.54 : 85,185.16 = 33,434.29 : x
  2. Step 2: Convert to fraction form
    61,728.54/85,185.16 = 33,434.29/x
  3. Step 3: Cross multiply
    61,728.54x = 85,185.16 × 33,434.29
  4. Step 4: Simplify right side
    61,728.54x = 2,848,105,343.14
  5. Step 5: Solve for x
    x = 2,848,105,343.14/61,728.54
  6. Step 6: Final answer
    x = 46,139.20

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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.