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Finding the Fourth Proportional to 32,787.60, 49,193.82 and 19,649.40

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Solution

The fourth proportional to 32,787.60, 49,193.82 and 19,649.40 is: 29,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,787.60 : 49,193.82 = 19,649.40 : x
  2. Step 2: Convert to fraction form
    32,787.60/49,193.82 = 19,649.40/x
  3. Step 3: Cross multiply
    32,787.60x = 49,193.82 × 19,649.40
  4. Step 4: Simplify right side
    32,787.60x = 966,629,046.71
  5. Step 5: Solve for x
    x = 966,629,046.71/32,787.60
  6. Step 6: Final answer
    x = 29,481.54

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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.