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Finding the Fourth Proportional to 32,221.96, 48,332.44 and 11,177.32

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Solution

The fourth proportional to 32,221.96, 48,332.44 and 11,177.32 is: 16,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221.96 : 48,332.44 = 11,177.32 : x
  2. Step 2: Convert to fraction form
    32,221.96/48,332.44 = 11,177.32/x
  3. Step 3: Cross multiply
    32,221.96x = 48,332.44 × 11,177.32
  4. Step 4: Simplify right side
    32,221.96x = 540,227,148.26
  5. Step 5: Solve for x
    x = 540,227,148.26/32,221.96
  6. Step 6: Final answer
    x = 16,765.81

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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.