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Finding the Fourth Proportional to 31,895.56, 47,845.50 and 8,524.36

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Solution

The fourth proportional to 31,895.56, 47,845.50 and 8,524.36 is: 12,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,895.56 : 47,845.50 = 8,524.36 : x
  2. Step 2: Convert to fraction form
    31,895.56/47,845.50 = 8,524.36/x
  3. Step 3: Cross multiply
    31,895.56x = 47,845.50 × 8,524.36
  4. Step 4: Simplify right side
    31,895.56x = 407,852,266.38
  5. Step 5: Solve for x
    x = 407,852,266.38/31,895.56
  6. Step 6: Final answer
    x = 12,787.12

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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.