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Finding the Fourth Proportional to 61,755.96, 85,224.81 and 37,895.82

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Solution

The fourth proportional to 61,755.96, 85,224.81 and 37,895.82 is: 52,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,755.96 : 85,224.81 = 37,895.82 : x
  2. Step 2: Convert to fraction form
    61,755.96/85,224.81 = 37,895.82/x
  3. Step 3: Cross multiply
    61,755.96x = 85,224.81 × 37,895.82
  4. Step 4: Simplify right side
    61,755.96x = 3,229,664,059.29
  5. Step 5: Solve for x
    x = 3,229,664,059.29/61,755.96
  6. Step 6: Final answer
    x = 52,297.20

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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.