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Finding the Fourth Proportional to 33,734.90, 50,602.53 and 14,013.48

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Solution

The fourth proportional to 33,734.90, 50,602.53 and 14,013.48 is: 21,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,734.90 : 50,602.53 = 14,013.48 : x
  2. Step 2: Convert to fraction form
    33,734.90/50,602.53 = 14,013.48/x
  3. Step 3: Cross multiply
    33,734.90x = 50,602.53 × 14,013.48
  4. Step 4: Simplify right side
    33,734.90x = 709,117,542.10
  5. Step 5: Solve for x
    x = 709,117,542.10/33,734.90
  6. Step 6: Final answer
    x = 21,020.29

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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.