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Finding the Fourth Proportional to 39,462.84, 54,465.78 and 23,329.50

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Solution

The fourth proportional to 39,462.84, 54,465.78 and 23,329.50 is: 32,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,462.84 : 54,465.78 = 23,329.50 : x
  2. Step 2: Convert to fraction form
    39,462.84/54,465.78 = 23,329.50/x
  3. Step 3: Cross multiply
    39,462.84x = 54,465.78 × 23,329.50
  4. Step 4: Simplify right side
    39,462.84x = 1,270,659,414.51
  5. Step 5: Solve for x
    x = 1,270,659,414.51/39,462.84
  6. Step 6: Final answer
    x = 32,198.88

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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.