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Finding the Fourth Proportional to 51,077, 76,641.42 and 23,381.96

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Solution

The fourth proportional to 51,077, 76,641.42 and 23,381.96 is: 35,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,077 : 76,641.42 = 23,381.96 : x
  2. Step 2: Convert to fraction form
    51,077/76,641.42 = 23,381.96/x
  3. Step 3: Cross multiply
    51,077x = 76,641.42 × 23,381.96
  4. Step 4: Simplify right side
    51,077x = 1,792,026,616.78
  5. Step 5: Solve for x
    x = 1,792,026,616.78/51,077
  6. Step 6: Final answer
    x = 35,084.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.