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Finding the Fourth Proportional to 32,933.52, 45,453.96 and 25,002

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Solution

The fourth proportional to 32,933.52, 45,453.96 and 25,002 is: 34,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,933.52 : 45,453.96 = 25,002 : x
  2. Step 2: Convert to fraction form
    32,933.52/45,453.96 = 25,002/x
  3. Step 3: Cross multiply
    32,933.52x = 45,453.96 × 25,002
  4. Step 4: Simplify right side
    32,933.52x = 1,136,439,907.92
  5. Step 5: Solve for x
    x = 1,136,439,907.92/32,933.52
  6. Step 6: Final answer
    x = 34,507.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.