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Finding the Fourth Proportional to 61,755.82, 85,213.34 and 35,920.09

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Solution

The fourth proportional to 61,755.82, 85,213.34 and 35,920.09 is: 49,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,755.82 : 85,213.34 = 35,920.09 : x
  2. Step 2: Convert to fraction form
    61,755.82/85,213.34 = 35,920.09/x
  3. Step 3: Cross multiply
    61,755.82x = 85,213.34 × 35,920.09
  4. Step 4: Simplify right side
    61,755.82x = 3,060,870,415.93
  5. Step 5: Solve for x
    x = 3,060,870,415.93/61,755.82
  6. Step 6: Final answer
    x = 49,564.08

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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.