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Finding the Fourth Proportional to 73,585.76, 101,550.74 and 41,756

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Solution

The fourth proportional to 73,585.76, 101,550.74 and 41,756 is: 57,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,585.76 : 101,550.74 = 41,756 : x
  2. Step 2: Convert to fraction form
    73,585.76/101,550.74 = 41,756/x
  3. Step 3: Cross multiply
    73,585.76x = 101,550.74 × 41,756
  4. Step 4: Simplify right side
    73,585.76x = 4,240,352,699.44
  5. Step 5: Solve for x
    x = 4,240,352,699.44/73,585.76
  6. Step 6: Final answer
    x = 57,624.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.