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Finding the Fourth Proportional to 32,208.12, 48,313.80 and 11,149.20

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Solution

The fourth proportional to 32,208.12, 48,313.80 and 11,149.20 is: 16,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.12 : 48,313.80 = 11,149.20 : x
  2. Step 2: Convert to fraction form
    32,208.12/48,313.80 = 11,149.20/x
  3. Step 3: Cross multiply
    32,208.12x = 48,313.80 × 11,149.20
  4. Step 4: Simplify right side
    32,208.12x = 538,660,218.96
  5. Step 5: Solve for x
    x = 538,660,218.96/32,208.12
  6. Step 6: Final answer
    x = 16,724.36

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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.