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Finding the Fourth Proportional to 32,871.96, 49,310.46 and 9,498.60

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Solution

The fourth proportional to 32,871.96, 49,310.46 and 9,498.60 is: 14,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871.96 : 49,310.46 = 9,498.60 : x
  2. Step 2: Convert to fraction form
    32,871.96/49,310.46 = 9,498.60/x
  3. Step 3: Cross multiply
    32,871.96x = 49,310.46 × 9,498.60
  4. Step 4: Simplify right side
    32,871.96x = 468,380,335.36
  5. Step 5: Solve for x
    x = 468,380,335.36/32,871.96
  6. Step 6: Final answer
    x = 14,248.63

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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.