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Finding the Fourth Proportional to 51,104.76, 76,631.22 and 23,379

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Solution

The fourth proportional to 51,104.76, 76,631.22 and 23,379 is: 35,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104.76 : 76,631.22 = 23,379 : x
  2. Step 2: Convert to fraction form
    51,104.76/76,631.22 = 23,379/x
  3. Step 3: Cross multiply
    51,104.76x = 76,631.22 × 23,379
  4. Step 4: Simplify right side
    51,104.76x = 1,791,561,292.38
  5. Step 5: Solve for x
    x = 1,791,561,292.38/51,104.76
  6. Step 6: Final answer
    x = 35,056.64

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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.