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Finding the Fourth Proportional to 50,509.14, 69,651 and 33,507.42

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Solution

The fourth proportional to 50,509.14, 69,651 and 33,507.42 is: 46,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.14 : 69,651 = 33,507.42 : x
  2. Step 2: Convert to fraction form
    50,509.14/69,651 = 33,507.42/x
  3. Step 3: Cross multiply
    50,509.14x = 69,651 × 33,507.42
  4. Step 4: Simplify right side
    50,509.14x = 2,333,825,310.42
  5. Step 5: Solve for x
    x = 2,333,825,310.42/50,509.14
  6. Step 6: Final answer
    x = 46,206.00

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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.