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Finding the Fourth Proportional to 32,745.44, 49,076.80 and 14,003.20

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Solution

The fourth proportional to 32,745.44, 49,076.80 and 14,003.20 is: 20,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745.44 : 49,076.80 = 14,003.20 : x
  2. Step 2: Convert to fraction form
    32,745.44/49,076.80 = 14,003.20/x
  3. Step 3: Cross multiply
    32,745.44x = 49,076.80 × 14,003.20
  4. Step 4: Simplify right side
    32,745.44x = 687,232,245.76
  5. Step 5: Solve for x
    x = 687,232,245.76/32,745.44
  6. Step 6: Final answer
    x = 20,987.11

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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.