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Finding the Fourth Proportional to 32,879.52, 49,356.14 and 13,171.82

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Solution

The fourth proportional to 32,879.52, 49,356.14 and 13,171.82 is: 19,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,879.52 : 49,356.14 = 13,171.82 : x
  2. Step 2: Convert to fraction form
    32,879.52/49,356.14 = 13,171.82/x
  3. Step 3: Cross multiply
    32,879.52x = 49,356.14 × 13,171.82
  4. Step 4: Simplify right side
    32,879.52x = 650,109,879.34
  5. Step 5: Solve for x
    x = 650,109,879.34/32,879.52
  6. Step 6: Final answer
    x = 19,772.49

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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.