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Finding the Fourth Proportional to 32,255.31, 48,362.31 and 12,512.82

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Solution

The fourth proportional to 32,255.31, 48,362.31 and 12,512.82 is: 18,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,255.31 : 48,362.31 = 12,512.82 : x
  2. Step 2: Convert to fraction form
    32,255.31/48,362.31 = 12,512.82/x
  3. Step 3: Cross multiply
    32,255.31x = 48,362.31 × 12,512.82
  4. Step 4: Simplify right side
    32,255.31x = 605,148,879.81
  5. Step 5: Solve for x
    x = 605,148,879.81/32,255.31
  6. Step 6: Final answer
    x = 18,761.22

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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.