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Finding the Fourth Proportional to 34,954.50, 52,411.02 and 13,883.21

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Solution

The fourth proportional to 34,954.50, 52,411.02 and 13,883.21 is: 20,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954.50 : 52,411.02 = 13,883.21 : x
  2. Step 2: Convert to fraction form
    34,954.50/52,411.02 = 13,883.21/x
  3. Step 3: Cross multiply
    34,954.50x = 52,411.02 × 13,883.21
  4. Step 4: Simplify right side
    34,954.50x = 727,633,374.21
  5. Step 5: Solve for x
    x = 727,633,374.21/34,954.50
  6. Step 6: Final answer
    x = 20,816.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.