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Finding the Fourth Proportional to 35,706.19, 53,542.09 and 13,201.73

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Solution

The fourth proportional to 35,706.19, 53,542.09 and 13,201.73 is: 19,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.19 : 53,542.09 = 13,201.73 : x
  2. Step 2: Convert to fraction form
    35,706.19/53,542.09 = 13,201.73/x
  3. Step 3: Cross multiply
    35,706.19x = 53,542.09 × 13,201.73
  4. Step 4: Simplify right side
    35,706.19x = 706,848,429.43
  5. Step 5: Solve for x
    x = 706,848,429.43/35,706.19
  6. Step 6: Final answer
    x = 19,796.24

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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.