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Finding the Fourth Proportional to 51,911.50, 77,876.97 and 24,209.50

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Solution

The fourth proportional to 51,911.50, 77,876.97 and 24,209.50 is: 36,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,911.50 : 77,876.97 = 24,209.50 : x
  2. Step 2: Convert to fraction form
    51,911.50/77,876.97 = 24,209.50/x
  3. Step 3: Cross multiply
    51,911.50x = 77,876.97 × 24,209.50
  4. Step 4: Simplify right side
    51,911.50x = 1,885,362,505.22
  5. Step 5: Solve for x
    x = 1,885,362,505.22/51,911.50
  6. Step 6: Final answer
    x = 36,318.78

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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.