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Finding the Fourth Proportional to 35,462.14, 53,202.42 and 13,277.22

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Solution

The fourth proportional to 35,462.14, 53,202.42 and 13,277.22 is: 19,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,462.14 : 53,202.42 = 13,277.22 : x
  2. Step 2: Convert to fraction form
    35,462.14/53,202.42 = 13,277.22/x
  3. Step 3: Cross multiply
    35,462.14x = 53,202.42 × 13,277.22
  4. Step 4: Simplify right side
    35,462.14x = 706,380,234.87
  5. Step 5: Solve for x
    x = 706,380,234.87/35,462.14
  6. Step 6: Final answer
    x = 19,919.28

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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.