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Finding the Fourth Proportional to 102,550.87, 153,826.31 and 27,671.02

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Solution

The fourth proportional to 102,550.87, 153,826.31 and 27,671.02 is: 41,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,550.87 : 153,826.31 = 27,671.02 : x
  2. Step 2: Convert to fraction form
    102,550.87/153,826.31 = 27,671.02/x
  3. Step 3: Cross multiply
    102,550.87x = 153,826.31 × 27,671.02
  4. Step 4: Simplify right side
    102,550.87x = 4,256,530,585.15
  5. Step 5: Solve for x
    x = 4,256,530,585.15/102,550.87
  6. Step 6: Final answer
    x = 41,506.53

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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.