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Finding the Fourth Proportional to 32,221.60, 48,313.56 and 12,232.42

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Solution

The fourth proportional to 32,221.60, 48,313.56 and 12,232.42 is: 18,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221.60 : 48,313.56 = 12,232.42 : x
  2. Step 2: Convert to fraction form
    32,221.60/48,313.56 = 12,232.42/x
  3. Step 3: Cross multiply
    32,221.60x = 48,313.56 × 12,232.42
  4. Step 4: Simplify right side
    32,221.60x = 590,991,682.70
  5. Step 5: Solve for x
    x = 590,991,682.70/32,221.60
  6. Step 6: Final answer
    x = 18,341.48

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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.