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Finding the Fourth Proportional to 32,009.76, 48,016.44 and 8,638.02

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Solution

The fourth proportional to 32,009.76, 48,016.44 and 8,638.02 is: 12,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.76 : 48,016.44 = 8,638.02 : x
  2. Step 2: Convert to fraction form
    32,009.76/48,016.44 = 8,638.02/x
  3. Step 3: Cross multiply
    32,009.76x = 48,016.44 × 8,638.02
  4. Step 4: Simplify right side
    32,009.76x = 414,766,969.05
  5. Step 5: Solve for x
    x = 414,766,969.05/32,009.76
  6. Step 6: Final answer
    x = 12,957.52

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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.