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Finding the Fourth Proportional to 51,608.34, 77,281.29 and 34,024.86

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Solution

The fourth proportional to 51,608.34, 77,281.29 and 34,024.86 is: 50,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,608.34 : 77,281.29 = 34,024.86 : x
  2. Step 2: Convert to fraction form
    51,608.34/77,281.29 = 34,024.86/x
  3. Step 3: Cross multiply
    51,608.34x = 77,281.29 × 34,024.86
  4. Step 4: Simplify right side
    51,608.34x = 2,629,485,072.87
  5. Step 5: Solve for x
    x = 2,629,485,072.87/51,608.34
  6. Step 6: Final answer
    x = 50,950.78

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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.