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Finding the Fourth Proportional to 48,984.62, 73,471.50 and 13,448.64

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Solution

The fourth proportional to 48,984.62, 73,471.50 and 13,448.64 is: 20,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,984.62 : 73,471.50 = 13,448.64 : x
  2. Step 2: Convert to fraction form
    48,984.62/73,471.50 = 13,448.64/x
  3. Step 3: Cross multiply
    48,984.62x = 73,471.50 × 13,448.64
  4. Step 4: Simplify right side
    48,984.62x = 988,091,753.76
  5. Step 5: Solve for x
    x = 988,091,753.76/48,984.62
  6. Step 6: Final answer
    x = 20,171.47

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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.