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Finding the Fourth Proportional to 38,536.54, 57,797.52 and 12,241.51

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Solution

The fourth proportional to 38,536.54, 57,797.52 and 12,241.51 is: 18,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.54 : 57,797.52 = 12,241.51 : x
  2. Step 2: Convert to fraction form
    38,536.54/57,797.52 = 12,241.51/x
  3. Step 3: Cross multiply
    38,536.54x = 57,797.52 × 12,241.51
  4. Step 4: Simplify right side
    38,536.54x = 707,528,919.06
  5. Step 5: Solve for x
    x = 707,528,919.06/38,536.54
  6. Step 6: Final answer
    x = 18,359.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.