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Finding the Fourth Proportional to 32,221.96, 44,459.24 and 31,160.05

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Solution

The fourth proportional to 32,221.96, 44,459.24 and 31,160.05 is: 42,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221.96 : 44,459.24 = 31,160.05 : x
  2. Step 2: Convert to fraction form
    32,221.96/44,459.24 = 31,160.05/x
  3. Step 3: Cross multiply
    32,221.96x = 44,459.24 × 31,160.05
  4. Step 4: Simplify right side
    32,221.96x = 1,385,351,874.41
  5. Step 5: Solve for x
    x = 1,385,351,874.41/32,221.96
  6. Step 6: Final answer
    x = 42,994.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.