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Finding the Fourth Proportional to 34,733.50, 52,102.84 and 13,957.06

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Solution

The fourth proportional to 34,733.50, 52,102.84 and 13,957.06 is: 20,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,733.50 : 52,102.84 = 13,957.06 : x
  2. Step 2: Convert to fraction form
    34,733.50/52,102.84 = 13,957.06/x
  3. Step 3: Cross multiply
    34,733.50x = 52,102.84 × 13,957.06
  4. Step 4: Simplify right side
    34,733.50x = 727,202,464.05
  5. Step 5: Solve for x
    x = 727,202,464.05/34,733.50
  6. Step 6: Final answer
    x = 20,936.63

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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.