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Finding the Fourth Proportional to 51,895.50, 77,839.62 and 29,639.14

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Solution

The fourth proportional to 51,895.50, 77,839.62 and 29,639.14 is: 44,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,895.50 : 77,839.62 = 29,639.14 : x
  2. Step 2: Convert to fraction form
    51,895.50/77,839.62 = 29,639.14/x
  3. Step 3: Cross multiply
    51,895.50x = 77,839.62 × 29,639.14
  4. Step 4: Simplify right side
    51,895.50x = 2,307,099,394.73
  5. Step 5: Solve for x
    x = 2,307,099,394.73/51,895.50
  6. Step 6: Final answer
    x = 44,456.64

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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.