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Finding the Fourth Proportional to 73,257.86, 109,976.50 and 48,318.76

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Solution

The fourth proportional to 73,257.86, 109,976.50 and 48,318.76 is: 72,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,257.86 : 109,976.50 = 48,318.76 : x
  2. Step 2: Convert to fraction form
    73,257.86/109,976.50 = 48,318.76/x
  3. Step 3: Cross multiply
    73,257.86x = 109,976.50 × 48,318.76
  4. Step 4: Simplify right side
    73,257.86x = 5,313,928,109.14
  5. Step 5: Solve for x
    x = 5,313,928,109.14/73,257.86
  6. Step 6: Final answer
    x = 72,537.31

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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.