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Finding the Fourth Proportional to 34,513.46, 47,571.22 and 24,428.96

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Solution

The fourth proportional to 34,513.46, 47,571.22 and 24,428.96 is: 33,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513.46 : 47,571.22 = 24,428.96 : x
  2. Step 2: Convert to fraction form
    34,513.46/47,571.22 = 24,428.96/x
  3. Step 3: Cross multiply
    34,513.46x = 47,571.22 × 24,428.96
  4. Step 4: Simplify right side
    34,513.46x = 1,162,115,430.53
  5. Step 5: Solve for x
    x = 1,162,115,430.53/34,513.46
  6. Step 6: Final answer
    x = 33,671.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.