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Finding the Fourth Proportional to 55,755.48, 76,942.59 and 30,261.84

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Solution

The fourth proportional to 55,755.48, 76,942.59 and 30,261.84 is: 41,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,755.48 : 76,942.59 = 30,261.84 : x
  2. Step 2: Convert to fraction form
    55,755.48/76,942.59 = 30,261.84/x
  3. Step 3: Cross multiply
    55,755.48x = 76,942.59 × 30,261.84
  4. Step 4: Simplify right side
    55,755.48x = 2,328,424,347.77
  5. Step 5: Solve for x
    x = 2,328,424,347.77/55,755.48
  6. Step 6: Final answer
    x = 41,761.35

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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.