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Finding the Fourth Proportional to 35,884.37, 53,791.42 and 13,378.58

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Solution

The fourth proportional to 35,884.37, 53,791.42 and 13,378.58 is: 20,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,884.37 : 53,791.42 = 13,378.58 : x
  2. Step 2: Convert to fraction form
    35,884.37/53,791.42 = 13,378.58/x
  3. Step 3: Cross multiply
    35,884.37x = 53,791.42 × 13,378.58
  4. Step 4: Simplify right side
    35,884.37x = 719,652,815.78
  5. Step 5: Solve for x
    x = 719,652,815.78/35,884.37
  6. Step 6: Final answer
    x = 20,054.77

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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.