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Finding the Fourth Proportional to 32,092.31, 48,120.84 and 9,899.54

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Solution

The fourth proportional to 32,092.31, 48,120.84 and 9,899.54 is: 14,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.31 : 48,120.84 = 9,899.54 : x
  2. Step 2: Convert to fraction form
    32,092.31/48,120.84 = 9,899.54/x
  3. Step 3: Cross multiply
    32,092.31x = 48,120.84 × 9,899.54
  4. Step 4: Simplify right side
    32,092.31x = 476,374,180.41
  5. Step 5: Solve for x
    x = 476,374,180.41/32,092.31
  6. Step 6: Final answer
    x = 14,843.87

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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.