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Finding the Fourth Proportional to 32,014.08, 48,021.12 and 8,642.34

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Solution

The fourth proportional to 32,014.08, 48,021.12 and 8,642.34 is: 12,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.08 : 48,021.12 = 8,642.34 : x
  2. Step 2: Convert to fraction form
    32,014.08/48,021.12 = 8,642.34/x
  3. Step 3: Cross multiply
    32,014.08x = 48,021.12 × 8,642.34
  4. Step 4: Simplify right side
    32,014.08x = 415,014,846.22
  5. Step 5: Solve for x
    x = 415,014,846.22/32,014.08
  6. Step 6: Final answer
    x = 12,963.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.