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Finding the Fourth Proportional to 32,221.51, 48,322.96 and 11,160.70

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Solution

The fourth proportional to 32,221.51, 48,322.96 and 11,160.70 is: 16,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221.51 : 48,322.96 = 11,160.70 : x
  2. Step 2: Convert to fraction form
    32,221.51/48,322.96 = 11,160.70/x
  3. Step 3: Cross multiply
    32,221.51x = 48,322.96 × 11,160.70
  4. Step 4: Simplify right side
    32,221.51x = 539,318,059.67
  5. Step 5: Solve for x
    x = 539,318,059.67/32,221.51
  6. Step 6: Final answer
    x = 16,737.83

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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.