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Finding the Fourth Proportional to 48,805.44, 73,231.20 and 48,019.20

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Solution

The fourth proportional to 48,805.44, 73,231.20 and 48,019.20 is: 72,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,805.44 : 73,231.20 = 48,019.20 : x
  2. Step 2: Convert to fraction form
    48,805.44/73,231.20 = 48,019.20/x
  3. Step 3: Cross multiply
    48,805.44x = 73,231.20 × 48,019.20
  4. Step 4: Simplify right side
    48,805.44x = 3,516,503,639.04
  5. Step 5: Solve for x
    x = 3,516,503,639.04/48,805.44
  6. Step 6: Final answer
    x = 72,051.47

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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.