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Finding the Fourth Proportional to 39,489.78, 59,244.21 and 13,196.46

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Solution

The fourth proportional to 39,489.78, 59,244.21 and 13,196.46 is: 19,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,489.78 : 59,244.21 = 13,196.46 : x
  2. Step 2: Convert to fraction form
    39,489.78/59,244.21 = 13,196.46/x
  3. Step 3: Cross multiply
    39,489.78x = 59,244.21 × 13,196.46
  4. Step 4: Simplify right side
    39,489.78x = 781,813,847.50
  5. Step 5: Solve for x
    x = 781,813,847.50/39,489.78
  6. Step 6: Final answer
    x = 19,797.88

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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.